Add FastAPI web service with Next.js UI #33

Bugbot Review

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✅ Completed bug detection (12m 2s)
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Final Result: Bugbot completed review and found 1 potential issue.

Request ID: serverGenReqId_6a1058d6-59d7-4c8b-b7f9-3d1539a6b5ce

Cursor Bugbot has reviewed your changes and found 1 potential issue.

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