diff --git a/tests/Issues/RepeatedThreeTimes/Fixture/fixture.php.inc b/tests/Issues/RepeatedThreeTimes/Fixture/fixture.php.inc
new file mode 100644
index 00000000000..fd64bc884cc
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/Fixture/fixture.php.inc
@@ -0,0 +1,35 @@
+<?php
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes\Fixture;
+
+use Rector\Tests\Issues\RepeatedThreeTimes\Source\SomeArrayCollection;
+
+final class Fixture
+{
+    /**
+     * @param array|SomeArrayCollection $items
+     */
+    public function run($items)
+    {
+    }
+}
+
+?>
+-----
+<?php
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes\Fixture;
+
+use Rector\Tests\Issues\RepeatedThreeTimes\Source\SomeCollection;
+
+final class Fixture
+{
+    /**
+     * @param SomeCollection $items
+     */
+    public function run(SomeCollection $items)
+    {
+    }
+}
+
+?>
diff --git a/tests/Issues/RepeatedThreeTimes/RepeatedThreeTimesTest.php b/tests/Issues/RepeatedThreeTimes/RepeatedThreeTimesTest.php
new file mode 100644
index 00000000000..d2e454bc70a
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/RepeatedThreeTimesTest.php
@@ -0,0 +1,34 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes;
+
+use Iterator;
+use PHPUnit\Framework\Attributes\DataProvider;
+use Rector\Testing\PHPUnit\AbstractRectorTestCase;
+
+/**
+ * Each rule depends on the output of the rule registered after it,
+ * so the file only reaches its final state on the 3rd pass
+ *
+ * @see https://github.com/rectorphp/rector-src/pull/8826
+ */
+final class RepeatedThreeTimesTest extends AbstractRectorTestCase
+{
+    #[DataProvider('provideData')]
+    public function test(string $filePath): void
+    {
+        $this->doTestFile($filePath);
+    }
+
+    public static function provideData(): Iterator
+    {
+        return self::yieldFilesFromDirectory(__DIR__ . '/Fixture');
+    }
+
+    public function provideConfigFilePath(): string
+    {
+        return __DIR__ . '/config/configured_rule.php';
+    }
+}
diff --git a/tests/Issues/RepeatedThreeTimes/Source/NarrowArrayCollectionDocblockRector.php b/tests/Issues/RepeatedThreeTimes/Source/NarrowArrayCollectionDocblockRector.php
new file mode 100644
index 00000000000..5e71571fa68
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/Source/NarrowArrayCollectionDocblockRector.php
@@ -0,0 +1,78 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes\Source;
+
+use PhpParser\Node;
+use PhpParser\Node\Stmt\ClassMethod;
+use PHPStan\PhpDocParser\Ast\Type\UnionTypeNode;
+use PHPStan\Type\ObjectType;
+use Rector\BetterPhpDocParser\PhpDocInfo\PhpDocInfoFactory;
+use Rector\BetterPhpDocParser\ValueObject\Type\FullyQualifiedIdentifierTypeNode;
+use Rector\Comments\NodeDocBlock\DocBlockUpdater;
+use Rector\Rector\AbstractRector;
+use Rector\RuleDoc\RuleDefinition;
+use Rector\StaticTypeMapper\StaticTypeMapper;
+
+/**
+ * @param array|SomeArrayCollection $items → @param array|SomeCollection $items
+ */
+final class NarrowArrayCollectionDocblockRector extends AbstractRector
+{
+    public function __construct(
+        private readonly PhpDocInfoFactory $phpDocInfoFactory,
+        private readonly DocBlockUpdater $docBlockUpdater,
+        private readonly StaticTypeMapper $staticTypeMapper
+    ) {
+    }
+
+    public function getRuleDefinition(): RuleDefinition
+    {
+        return new RuleDefinition('', []);
+    }
+
+    /**
+     * @return array<class-string<Node>>
+     */
+    public function getNodeTypes(): array
+    {
+        return [ClassMethod::class];
+    }
+
+    /**
+     * @param ClassMethod $node
+     */
+    public function refactor(Node $node): ?ClassMethod
+    {
+        $phpDocInfo = $this->phpDocInfoFactory->createFromNode($node);
+        if ($phpDocInfo === null) {
+            return null;
+        }
+
+        $hasChanged = false;
+        foreach ($phpDocInfo->getParamTagValueNodes() as $paramTagValueNode) {
+            if (! $paramTagValueNode->type instanceof UnionTypeNode) {
+                continue;
+            }
+
+            foreach ($paramTagValueNode->type->types as $key => $unionedTypeNode) {
+                $unionedType = $this->staticTypeMapper->mapPHPStanPhpDocTypeNodeToPHPStanType($unionedTypeNode, $node);
+                if (! $unionedType->equals(new ObjectType(SomeArrayCollection::class))) {
+                    continue;
+                }
+
+                $paramTagValueNode->type->types[$key] = new FullyQualifiedIdentifierTypeNode(SomeCollection::class);
+                $hasChanged = true;
+            }
+        }
+
+        if (! $hasChanged) {
+            return null;
+        }
+
+        $this->docBlockUpdater->updateRefactoredNodeWithPhpDocInfo($node);
+
+        return $node;
+    }
+}
diff --git a/tests/Issues/RepeatedThreeTimes/Source/NarrowParamUnionDocblockRector.php b/tests/Issues/RepeatedThreeTimes/Source/NarrowParamUnionDocblockRector.php
new file mode 100644
index 00000000000..e1eb2d6874e
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/Source/NarrowParamUnionDocblockRector.php
@@ -0,0 +1,85 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes\Source;
+
+use PhpParser\Node;
+use PhpParser\Node\Stmt\ClassMethod;
+use PHPStan\PhpDocParser\Ast\Type\IdentifierTypeNode;
+use PHPStan\PhpDocParser\Ast\Type\UnionTypeNode;
+use PHPStan\Type\ObjectType;
+use Rector\BetterPhpDocParser\PhpDocInfo\PhpDocInfoFactory;
+use Rector\Comments\NodeDocBlock\DocBlockUpdater;
+use Rector\Rector\AbstractRector;
+use Rector\RuleDoc\RuleDefinition;
+use Rector\StaticTypeMapper\StaticTypeMapper;
+
+/**
+ * @param array|SomeCollection $items → @param SomeCollection $items
+ */
+final class NarrowParamUnionDocblockRector extends AbstractRector
+{
+    public function __construct(
+        private readonly PhpDocInfoFactory $phpDocInfoFactory,
+        private readonly DocBlockUpdater $docBlockUpdater,
+        private readonly StaticTypeMapper $staticTypeMapper
+    ) {
+    }
+
+    public function getRuleDefinition(): RuleDefinition
+    {
+        return new RuleDefinition('', []);
+    }
+
+    /**
+     * @return array<class-string<Node>>
+     */
+    public function getNodeTypes(): array
+    {
+        return [ClassMethod::class];
+    }
+
+    /**
+     * @param ClassMethod $node
+     */
+    public function refactor(Node $node): ?ClassMethod
+    {
+        $phpDocInfo = $this->phpDocInfoFactory->createFromNode($node);
+        if ($phpDocInfo === null) {
+            return null;
+        }
+
+        $hasChanged = false;
+        foreach ($phpDocInfo->getParamTagValueNodes() as $paramTagValueNode) {
+            if (! $paramTagValueNode->type instanceof UnionTypeNode) {
+                continue;
+            }
+
+            if (count($paramTagValueNode->type->types) !== 2) {
+                continue;
+            }
+
+            [$firstTypeNode, $secondTypeNode] = $paramTagValueNode->type->types;
+            if (! $firstTypeNode instanceof IdentifierTypeNode || $firstTypeNode->name !== 'array') {
+                continue;
+            }
+
+            $secondType = $this->staticTypeMapper->mapPHPStanPhpDocTypeNodeToPHPStanType($secondTypeNode, $node);
+            if (! $secondType->equals(new ObjectType(SomeCollection::class))) {
+                continue;
+            }
+
+            $paramTagValueNode->type = $secondTypeNode;
+            $hasChanged = true;
+        }
+
+        if (! $hasChanged) {
+            return null;
+        }
+
+        $this->docBlockUpdater->updateRefactoredNodeWithPhpDocInfo($node);
+
+        return $node;
+    }
+}
diff --git a/tests/Issues/RepeatedThreeTimes/Source/ParamTypeFromDocblockRector.php b/tests/Issues/RepeatedThreeTimes/Source/ParamTypeFromDocblockRector.php
new file mode 100644
index 00000000000..9fe75a05539
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/Source/ParamTypeFromDocblockRector.php
@@ -0,0 +1,69 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes\Source;
+
+use PhpParser\Node;
+use PhpParser\Node\Name\FullyQualified;
+use PhpParser\Node\Stmt\ClassMethod;
+use PHPStan\Type\ObjectType;
+use Rector\BetterPhpDocParser\PhpDocInfo\PhpDocInfoFactory;
+use Rector\Rector\AbstractRector;
+use Rector\RuleDoc\RuleDefinition;
+
+/**
+ * @param SomeCollection $items → native SomeCollection $items param type
+ */
+final class ParamTypeFromDocblockRector extends AbstractRector
+{
+    public function __construct(
+        private readonly PhpDocInfoFactory $phpDocInfoFactory
+    ) {
+    }
+
+    public function getRuleDefinition(): RuleDefinition
+    {
+        return new RuleDefinition('', []);
+    }
+
+    /**
+     * @return array<class-string<Node>>
+     */
+    public function getNodeTypes(): array
+    {
+        return [ClassMethod::class];
+    }
+
+    /**
+     * @param ClassMethod $node
+     */
+    public function refactor(Node $node): ?ClassMethod
+    {
+        $phpDocInfo = $this->phpDocInfoFactory->createFromNode($node);
+        if ($phpDocInfo === null) {
+            return null;
+        }
+
+        $hasChanged = false;
+        foreach ($node->params as $param) {
+            if ($param->type instanceof Node) {
+                continue;
+            }
+
+            $paramType = $phpDocInfo->getParamType($this->getName($param));
+            if (! $paramType->equals(new ObjectType(SomeCollection::class))) {
+                continue;
+            }
+
+            $param->type = new FullyQualified(SomeCollection::class);
+            $hasChanged = true;
+        }
+
+        if (! $hasChanged) {
+            return null;
+        }
+
+        return $node;
+    }
+}
diff --git a/tests/Issues/RepeatedThreeTimes/Source/SomeArrayCollection.php b/tests/Issues/RepeatedThreeTimes/Source/SomeArrayCollection.php
new file mode 100644
index 00000000000..566eadf74dd
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/Source/SomeArrayCollection.php
@@ -0,0 +1,9 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes\Source;
+
+final class SomeArrayCollection implements SomeCollection
+{
+}
diff --git a/tests/Issues/RepeatedThreeTimes/Source/SomeCollection.php b/tests/Issues/RepeatedThreeTimes/Source/SomeCollection.php
new file mode 100644
index 00000000000..19e8da8474c
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/Source/SomeCollection.php
@@ -0,0 +1,9 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\Tests\Issues\RepeatedThreeTimes\Source;
+
+interface SomeCollection
+{
+}
diff --git a/tests/Issues/RepeatedThreeTimes/config/configured_rule.php b/tests/Issues/RepeatedThreeTimes/config/configured_rule.php
new file mode 100644
index 00000000000..f945331e147
--- /dev/null
+++ b/tests/Issues/RepeatedThreeTimes/config/configured_rule.php
@@ -0,0 +1,20 @@
+<?php
+
+declare(strict_types=1);
+
+use Rector\Config\RectorConfig;
+use Rector\Tests\Issues\RepeatedThreeTimes\Source\NarrowArrayCollectionDocblockRector;
+use Rector\Tests\Issues\RepeatedThreeTimes\Source\NarrowParamUnionDocblockRector;
+use Rector\Tests\Issues\RepeatedThreeTimes\Source\ParamTypeFromDocblockRector;
+
+return RectorConfig::configure()
+    ->withImportNames()
+    // registered in reverse order of dependency:
+    // 3rd pass: native param type from @param SomeCollection
+    // 2nd pass: @param array|SomeCollection to @param SomeCollection
+    // 1st pass: @param array|SomeArrayCollection to @param array|SomeCollection
+    ->withRules([
+        ParamTypeFromDocblockRector::class,
+        NarrowParamUnionDocblockRector::class,
+        NarrowArrayCollectionDocblockRector::class,
+    ]);