feat: add database schema support for gateway and game profiles

- Introduced `dbSchema` configuration option in GatewayApiConfig and GatewayOrchestratorConfig.
- Implemented schema resolution logic in environment configuration functions.
- Updated context and orchestrator factory to use GatewayPrismaClient instead of PrismaClient.
- Refactored orchestrator server and profile repository to accommodate new database schema handling.
- Created separate Prisma schemas for game and gateway in the infra package.
- Enhanced Postgres connector to support schema overrides in database URLs.
- Updated documentation to reflect changes in database schema handling.
- Added new Prisma generation and database push scripts for game and gateway schemas.

pnpm-lock.yaml

@@ -201,6 +201,9 @@ importers:
       '@prisma/client':
         specifier: ^7.2.0
         version: 7.2.0(prisma@7.2.0(@types/react@19.2.7)(react-dom@19.2.3(react@19.2.3))(react@19.2.3)(typescript@5.9.3))(typescript@5.9.3)
+      '@prisma/client-runtime-utils':
+        specifier: ^7.2.0
+        version: 7.2.0
       pg:
         specifier: ^8.16.3
         version: 8.16.3