fix(worker): capture API route errors in Sentry

[brendan-kellam]

Summary

• capture unhandled worker API route exceptions in Sentry
• delegate captured errors to the existing Express error handler

Testing

• yarn workspace @sourcebot/backend build

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Note

Low Risk
Observability-only middleware; errors are still forwarded with next(error) and do not alter API logic or responses.

Overview
Adds Express error middleware on the worker API so unhandled route exceptions are reported via Sentry.captureException before next(error) continues the normal error-handling path (with express-async-errors for async handlers).

No changes to route behavior or response shapes—only observability for failures on /api/* and /metrics.

^{Reviewed by Cursor Bugbot for commit e4ac8d1. Bugbot is set up for automated code reviews on this repo. Configure here.}

Summary by CodeRabbit

• Bug Fixes
  • Improved error monitoring by capturing unexpected server errors.
  • Preserved standard error handling so failures continue through the normal processing flow.

[github-actions]

@brendan-kellam your pull request is missing a changelog!

[coderabbitai]

Caution

Review failed

The pull request is closed.

ℹ️ Recent review info

⚙️ Run configuration

Configuration used: Organization UI

Review profile: CHILL

Plan: Pro

Run ID: 2fd3bf0f-41d3-45c3-9b1b-4b766a2f6b76

📥 Commits

Reviewing files that changed from the base of the PR and between 53360a8 and e4ac8d1.

📒 Files selected for processing (1)

• packages/backend/src/api.ts

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Walkthrough

The backend API imports Sentry and registers Express error-handling middleware that captures propagated errors before forwarding them to the next error handler.

Changes

Backend error reporting

Layer / File(s)	Summary
Sentry error middleware packages/backend/src/api.ts	Adds Sentry and NextFunction imports, then captures propagated Express errors with Sentry before calling next(error).

Estimated code review effort: 2 (Simple) | ~5 minutes

Suggested reviewers: konradstanski

✨ Finishing Touches

📝 Generate docstrings

• Create stacked PR
• Commit on current branch

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch brendan-kellam/capture-api-route-errors-in-sentry

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