add nextjs and migrated api to next api

apps/web/src/pages/api/trpc/[trpc].ts

@@ -0,0 +1,19 @@
+import { createNextApiHandler } from "@trpc/server/adapters/next";
+
+import { env } from "@/env.mjs";
+import { appRouter } from "@/server/api/root";
+import { createTRPCContext } from "@/server/api/trpc";
+
+// export API handler
+export default createNextApiHandler({
+  router: appRouter,
+  createContext: createTRPCContext,
+  onError:
+    env.NODE_ENV === "development"
+      ? ({ path, error }) => {
+          console.error(
+            `❌ tRPC failed on ${path ?? "<no-path>"}: ${error.message}`
+          );
+        }
+      : undefined,
+});