fix: correct Better Auth URL variable in docker-compose.yaml

[claudeaceae]

Summary

This PR fixes an environment variable name mismatch in docker-compose.yaml that would cause authentication to fail in Docker deployments.

The Problem

The docker-compose.yaml file uses BETTER_AUTH_URL, but the actual codebase expects NEXT_PUBLIC_BETTER_AUTH_URL.

Evidence:

• packages/auth/src/server.ts (lines 8 and 45) reads NEXT_PUBLIC_BETTER_AUTH_URL
• apps/web/.env.example uses NEXT_PUBLIC_BETTER_AUTH_URL
• All documentation (README.md, CONTRIBUTING.md) specifies NEXT_PUBLIC_BETTER_AUTH_URL

Changes Made

Changed line 62 in docker-compose.yaml:

- BETTER_AUTH_URL=http://localhost:3000
+ NEXT_PUBLIC_BETTER_AUTH_URL=http://localhost:3000

Impact

Without this fix, users deploying with Docker would encounter authentication failures because the Better Auth library wouldn't be able to find its base URL configuration.

Testing

This can be verified by:

1. Checking packages/auth/src/server.ts - it destructures NEXT_PUBLIC_BETTER_AUTH_URL from keys()
2. Checking the Better Auth configuration - it uses baseURL: NEXT_PUBLIC_BETTER_AUTH_URL

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Note: This is a configuration fix that aligns docker-compose.yaml with the actual codebase requirements.

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🔨 Latest commit	e066376

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📥 Commits

Reviewing files that changed from the base of the PR and between 0173db9 and e066376.

📒 Files selected for processing (1)

• docker-compose.yaml

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