refactor: migrate from Next.js to SolidJS and GraphQL

- Converted web application from Next.js to SolidJS with Vite
- Replaced React components with SolidJS components
- Implemented GraphQL client using URQL
- Added authentication, room, and chat components
- Updated project structure and configuration files
- Removed unnecessary Next.js and docs-related files
- Added Docker support for web and API applications

apps/api/package.json

@@ -0,0 +1,44 @@
+{
+  "name": "api",
+  "version": "1.0.0",
+  "main": "dist/index.js",
+  "scripts": {
+    "dev": "nodemon --exec ts-node src/index.ts",
+    "build": "tsc",
+    "start": "node dist/index.js",
+    "prisma:generate": "prisma generate",
+    "prisma:migrate": "prisma migrate dev",
+    "prisma:studio": "prisma studio",
+    "prisma:init": "prisma migrate dev --name init",
+    "check-types": "tsc --noEmit"
+  },
+  "keywords": [],
+  "author": "",
+  "license": "ISC",
+  "description": "",
+  "dependencies": {
+    "@apollo/server": "^4.10.0",
+    "@graphql-tools/schema": "^10.0.2",
+    "@prisma/client": "^6.4.1",
+    "@types/ws": "^8.5.14",
+    "apollo-server": "^3.13.0",
+    "apollo-server-express": "^3.13.0",
+    "cors": "^2.8.5",
+    "dotenv": "^16.4.5",
+    "express": "^4.18.2",
+    "graphql": "^16.8.1",
+    "graphql-subscriptions": "^2.0.0",
+    "graphql-ws": "^5.14.0",
+    "subscriptions-transport-ws": "^0.11.0",
+    "ws": "^8.18.1"
+  },
+  "devDependencies": {
+    "@types/cors": "^2.8.17",
+    "@types/express": "^4.17.21",
+    "@types/node": "^20.11.20",
+    "nodemon": "^3.1.0",
+    "prisma": "^6.4.1",
+    "ts-node": "^10.9.2",
+    "typescript": "^5.3.3"
+  }
+}