feat: initialize database and authentication routes in backend

backend/package.json

@@ -0,0 +1,31 @@
+{
+  "name": "brainwave-backend",
+  "private": true,
+  "version": "0.0.1",
+  "type": "module",
+  "scripts": {
+    "dev": "tsx watch src/index.ts",
+    "build": "tsc",
+    "start": "node dist/index.js",
+    "test": "vitest run"
+  },
+  "dependencies": {
+    "bcrypt": "^6.0.0",
+    "better-sqlite3": "^11.9.1",
+    "cors": "^2.8.5",
+    "express": "^5.1.0",
+    "jsonwebtoken": "^9.0.2",
+    "nodemailer": "^7.0.3"
+  },
+  "devDependencies": {
+    "@types/bcrypt": "^5.0.2",
+    "@types/better-sqlite3": "^7.6.13",
+    "@types/cors": "^2.8.18",
+    "@types/express": "^5.0.2",
+    "@types/jsonwebtoken": "^9.0.9",
+    "@types/nodemailer": "^6.4.17",
+    "tsx": "^4.19.4",
+    "typescript": "~6.0.2",
+    "vitest": "^4.1.5"
+  }
+}