feat(core-api): compose @repo/auth/api into appRouter under 'auth' namespace

packages/core-api/package.json

@@ -12,6 +12,7 @@
     "typecheck": "tsc --noEmit"
   },
   "dependencies": {
+    "@repo/auth": "workspace:*",
     "@repo/blog": "workspace:*",
     "@repo/core-shared": "workspace:*",
     "@trpc/server": "^11.0.0"

packages/core-api/src/root.ts

@@ -1,8 +1,15 @@
+import type { AuthRouter } from "@repo/auth";
+import type { BlogRouter } from "@repo/blog";
 import { router } from "@repo/core-shared/trpc/init";
+import { authRouter } from "@repo/auth/api";
 import { blogRouter } from "@repo/blog/api";
 
 export const appRouter = router({
+  auth: authRouter,
   blog: blogRouter,
 });
 
-export type AppRouter = typeof appRouter;
+export type AppRouter = {
+  auth: AuthRouter;
+  blog: BlogRouter;
+};