Feat/add e2e tests

[binit2-1]

🧪 Test Contribution

📝 Description

This PR fixes the auth endpoint E2E tests that were failing due to multiple issues:

1. Tests running in parallel - Auth tests depend on each other (login needs registration first), but were running in parallel with different user credentials
2. Missing name field - Better Auth requires a name field for email sign-up
3. Missing API_URL environment variable - Tests couldn't find the API server
4. Playwright not starting API server - Only the frontend was being started before tests
5. CI not having a database - Added PostgreSQL service container for GitHub Actions

🎯 Test Type

• 🟢 E2E (Root) - npm run test:e2e
• 🟡 Unit (API) - npm run test:unit (in apps/api)
• 🔵 Unit (Web) - npm run test:unit (in apps/web)

✅ Checklist

• I have verified that the new test passed locally.
• I have ensured that I didn't break existing tests.
• (If E2E) I used the isolated test database mechanism.
• I have cleansed any hardcoded secrets/IDs.

📸 Screenshots / Trace (Optional)

If this is a UI test or complex flow, attach a screenshot or referencing the trace file.

Fixes: #77

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Project	Deployment	Review	Updated (UTC)
composter-api	Ready	Preview, Comment	Jan 28, 2026 6:18pm
composter-web	Ready	Preview, Comment	Jan 28, 2026 6:18pm