refactor: change backend to typescript and update types and variables accordingly

shared/vite.config.ts

@@ -1,15 +1,9 @@
 import { defineConfig } from "vite";
-import react, { reactCompilerPreset } from "@vitejs/plugin-react";
-import babel from "@rolldown/plugin-babel";
-import tailwindcss from "@tailwindcss/vite";
-import { TanStackRouterVite } from "@tanstack/router-vite-plugin";
+import dts from "vite-plugin-dts";
 
 // https://vite.dev/config/
 export default defineConfig({
   plugins: [
-    react(),
-    tailwindcss(),
-    TanStackRouterVite(),
-    babel({ presets: [reactCompilerPreset()] }),
+    dts(),
   ],
 });