db: use shared default schema (no separate-schema bootstrap needed)

src/auth.ts

@@ -36,11 +36,11 @@ if (process.env.APPLE_CLIENT_ID && process.env.APPLE_CLIENT_SECRET) {
   };
 }
 
-// Better Auth keeps its own tables in a dedicated schema so they sit cleanly
-// alongside the MCP app's tables in the same CNPG database.
+// Shares the MCP product's CNPG database. Better Auth's tables (user, session,
+// account, jwks, oauthApplication, ...) don't collide with the app's `users`
+// table, so they coexist in the default schema — same DB, no second instance.
 const pool = new Pool({
   connectionString: required("AUTH_DATABASE_URL"),
-  options: "-c search_path=betterauth,public",
 });
 
 export const auth = betterAuth({