chore: update package.json and package-lock.json for @types/react-dom, adjust routes and vite config

package.json

@@ -1,14 +1,12 @@
 {
   "name": "handyman",
-  "homepage": "https://dadobos.github.io/handyman/",
+  "homepage": "https://dadobos.github.io/handyman",
   "private": true,
   "version": "0.0.1",
   "type": "module",
   "scripts": {
     "predeploy": "npm run build",
-		"deploy": "gh-pages -d build",
-    "build": "vite build",
-    "dev": "vite"
+    "deploy": "gh-pages -d dist"
   },
   "dependencies": {
     "@emotion/react": "11.14.0",
@@ -68,6 +66,7 @@
   },
   "devDependencies": {
     "@tailwindcss/vite": "4.1.12",
+    "@types/react-dom": "^19.2.3",
     "@vitejs/plugin-react": "4.7.0",
     "gh-pages": "^6.3.0",
     "tailwindcss": "4.1.12",