feat(web-next): wire tRPC route handler against core-api + new TrpcProvider

apps/web-next/src/app/providers.tsx

@@ -1,7 +1,7 @@
 "use client";
 
-import { ApiProvider } from "@repo/api-client";
+import { NextTrpcProvider } from "@repo/core-trpc/next";
 
 export function Providers({ children }: { children: React.ReactNode }) {
-  return <ApiProvider trpcUrl="/api/trpc">{children}</ApiProvider>;
+  return <NextTrpcProvider trpcUrl="/api/trpc">{children}</NextTrpcProvider>;
 }