build(web-tanstack): swap deps + use TanstackTrpcProvider against shared backend

apps/web-tanstack/package.json

@@ -10,9 +10,13 @@
     "typecheck": "tsc --noEmit"
   },
   "dependencies": {
-    "@repo/api": "workspace:*",
-    "@repo/api-client": "workspace:*",
-    "@repo/ui": "workspace:*",
+    "@repo/blog": "workspace:*",
+    "@repo/core-api": "workspace:*",
+    "@repo/core-trpc": "workspace:*",
+    "@repo/core-ui": "workspace:*",
+    "@repo/marketing-pages": "workspace:*",
+    "@repo/navigation": "workspace:*",
+    "@tanstack/react-query": "^5.66.0",
     "@tanstack/react-router": "^1.120.0",
     "react": "^19.0.0",
     "react-dom": "^19.0.0"

apps/web-tanstack/src/routes/__root.tsx

@@ -1,10 +1,10 @@
 import { Outlet, createRootRoute } from "@tanstack/react-router";
-import { ApiProvider } from "@repo/api-client";
+import { TanstackTrpcProvider } from "@repo/core-trpc/tanstack";
 
 export const Route = createRootRoute({
   component: () => (
-    <ApiProvider trpcUrl="http://localhost:3000/api/trpc">
+    <TanstackTrpcProvider trpcUrl="http://localhost:3000/api/trpc">
       <Outlet />
-    </ApiProvider>
+    </TanstackTrpcProvider>
   ),
 });