🐛 fix(docker): add missing workspace dependencies to all Dockerfiles

Ensure all backend Dockerfiles copy and build ALL workspace dependencies
they need. This fixes Docker build failures where packages couldn't find
their @manacore/* dependencies.

**Changes:**

**Picture Backend:**
- Added better-auth-types (with build)
- Added mana-core-nestjs-integration (with build)
- Added shared-nestjs-auth (with build)
- Added shared-storage (with build)

**Chat Backend:**
- Added mana-core-nestjs-integration (with build)

**Calendar, Clock, Todo Backends:**
- Added shared-nestjs-cors (already had other deps)

**Mana Core Auth:**
- Restructured for monorepo workspace support
- Added shared-nestjs-cors

**Key Improvements:**
- All packages in alphabetical order
- Build steps for compiled packages
- Source-only packages (shared-nestjs-cors) skip build
- Proper dependency ordering in build steps

This ensures Docker builds work correctly after the CORS package addition.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

apps/clock/apps/backend/Dockerfile

@@ -15,6 +15,7 @@ COPY pnpm-lock.yaml ./
 COPY packages/better-auth-types ./packages/better-auth-types
 COPY packages/shared-errors ./packages/shared-errors
 COPY packages/shared-nestjs-auth ./packages/shared-nestjs-auth
+COPY packages/shared-nestjs-cors ./packages/shared-nestjs-cors
 
 # Copy clock packages and backend
 COPY apps/clock/packages ./apps/clock/packages