Consolidate loop proxy on LOOP_BACKEND_URL

[jon-devlapaz]

Summary

• Remove Vercel edge rewrites for /loop, /health, /api/session/* from vercel.json
• Document LOOP_BACKEND_URL in .env.example
• Production already has LOOP_BACKEND_URL set on Vercel; FastAPI loop_backend_proxy.py becomes the single proxy path

Test plan

• pytest tests/test_loop_backend_proxy.py -q (3 pass)
• After merge + deploy, verify:

  curl -s https://app.socratink.ai/health | jq .
  curl -s https://app.socratink.ai/api/health | jq .
  curl -s -X POST https://app.socratink.ai/api/session | jq .sessionId

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[vercel]

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Project	Deployment	Actions	Updated (UTC)
learn-ops-tamagachi	Ready	Preview, Comment	Jun 2, 2026 6:44pm

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ℹ️ Review info

⚙️ Run configuration

Configuration used: Organization UI

Review profile: CHILL

Plan: Pro Plus

Run ID: 1d93c5fc-33bd-4eae-8a47-1665608caafd

📥 Commits

Reviewing files that changed from the base of the PR and between ada72ac and bc35b6e.

📒 Files selected for processing (2)

• .env.example
• vercel.json

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch dev

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