Port barge in fixes from python implementation

[lukasIO]

Description

Changes Made

Pre-Review Checklist

• Build passes: All builds (lint, typecheck, tests) pass locally
• AI-generated code reviewed: Removed unnecessary comments and ensured code quality
• Changes explained: All changes are properly documented and justified above
• Scope appropriate: All changes relate to the PR title, or explanations provided for why they're included
• Video demo: A small video demo showing changes works as expected and did not break any existing functionality using Agent Playground (if applicable)

Testing

• Automated tests added/updated (if applicable)
• All tests pass
• Make sure both restaurant_agent.ts and realtime_agent.ts work properly (for major changes)

Additional Notes

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Note to reviewers: Please ensure the pre-review checklist is completed before starting your review.

[changeset-bot]

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Latest commit: 1246c5f

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[chenghao-mou]

lgtm, the fix from devin is also good.

[devin-ai-integration]

Devin Review found 1 new potential issue.

View 10 additional findings in Devin Review.