add nextjs and migrated api to next api

apps/web/src/server/api/root.ts

@@ -0,0 +1,14 @@
+import { exampleRouter } from "@/server/api/routers/example";
+import { createTRPCRouter } from "@/server/api/trpc";
+
+/**
+ * This is the primary router for your server.
+ *
+ * All routers added in /api/routers should be manually added here.
+ */
+export const appRouter = createTRPCRouter({
+  example: exampleRouter,
+});
+
+// export type definition of API
+export type AppRouter = typeof appRouter;