[Advanced Paste][PowerDisplay] Move from own IPC implementation to the one from PowerToys.interop

[Noraa Junker (noraa-junker)]

Summary of the Pull Request

Reduces different IPC implementations by removing the ones from Advanced Paste and PowerDisplay and replacing them with the one from PowerToys.interop which is used in the most places.

PR Checklist

• Closes: #xxx

• Communication: I've discussed this with core contributors already. If the work hasn't been agreed, this work might be rejected
• Tests: Added/updated and all pass
• Localization: All end-user-facing strings can be localized
• Dev docs: Added/updated
• New binaries: Added on the required places
  • JSON for signing for new binaries
  • WXS for installer for new binaries and localization folder
  • YML for CI pipeline for new test projects
  • YML for signed pipeline
• Documentation updated: If checked, please file a pull request on our docs repo and link it here: #xxx

Detailed Description of the Pull Request / Additional comments

Validation Steps Performed

[github-actions]

🧭 PR intake

Visual evidence: Not needed — The changed files do not indicate a visible UI change. No visual evidence is expected.

Recommendation

Link the issue this PR fixes using a closing keyword such as Closes #123.

✅ Ready for review

This PR passed the automated intake checks and is ready for maintainer review.

Automated PR intake; PowerToys maintainers make final decisions.