Fix the Browser Use async example

[MagMueller]

The Browser Use integration calls Agent.run() without awaiting it. The example therefore returns a coroutine, and result.final_result() raises AttributeError instead of running the agent.

This adds the missing await.

Validation:

• reproduced the coroutine/final_result() failure with the installed browser-use package
• git diff --check
• parsed all three Python snippets with ast.parse
• rendered the integration page with Mintlify and verified the updated snippet

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Note

Low Risk
Documentation-only change to an integration code sample; no runtime or product code affected.

Overview
Fixes the Browser Use integration doc so the “Create and run your agent” snippet correctly awaits the async Agent.run() call (result = await agent.run() instead of result = agent.run()).

Without await, the example would assign a coroutine to result, so follow-up usage (e.g. final_result()) would fail at runtime.

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