added application form UI

ui/package.json

@@ -13,15 +13,20 @@
   },
   "dependencies": {
     "@tailwindcss/vite": "^4.1.11",
+    "@vee-validate/zod": "^4.15.1",
+    "@vueuse/core": "^13.6.0",
     "class-variance-authority": "^0.7.1",
     "clsx": "^2.1.1",
     "lucide-vue-next": "^0.539.0",
     "pinia": "^3.0.3",
+    "reka-ui": "^2.4.1",
     "tailwind-merge": "^3.3.1",
     "tailwindcss": "^4.1.11",
     "tw-animate-css": "^1.3.6",
+    "vee-validate": "^4.15.1",
     "vue": "^3.5.18",
-    "vue-router": "^4.5.1"
+    "vue-router": "^4.5.1",
+    "zod": "^3.25.76"
   },
   "devDependencies": {
     "@types/node": "^24.2.1",