chore: initialize monorepo with npm workspaces

.gitignore

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+node_modules/
+dist/
+.env
+*.log
+.DS_Store

.prettierrc

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+{
+  "singleQuote": true,
+  "trailingComma": "all",
+  "printWidth": 100,
+  "semi": true
+}

package-lock.json

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+{
+  "name": "moex-vibe",
+  "lockfileVersion": 3,
+  "requires": true,
+  "packages": {
+    "": {
+      "name": "moex-vibe",
+      "workspaces": [
+        "apps/backend",
+        "apps/frontend"
+      ],
+      "devDependencies": {
+        "prettier": "^3.0.0"
+      }
+    },
+    "node_modules/prettier": {
+      "version": "3.8.4",
+      "resolved": "https://registry.npmjs.org/prettier/-/prettier-3.8.4.tgz",
+      "integrity": "sha512-N2MylSdi48+5N/6S5j+maeHbUSIzzZ5uOcX5Hm4QpV8Dkb1HFjfAKTKX6yNPJQD9AhcT3ifHNB66tWTTJDi11Q==",
+      "dev": true,
+      "license": "MIT",
+      "bin": {
+        "prettier": "bin/prettier.cjs"
+      },
+      "engines": {
+        "node": ">=14"
+      },
+      "funding": {
+        "url": "https://github.com/prettier/prettier?sponsor=1"
+      }
+    }
+  }
+}

package.json

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+{
+  "name": "moex-vibe",
+  "private": true,
+  "workspaces": [
+    "apps/backend",
+    "apps/frontend"
+  ],
+  "scripts": {
+    "dev:backend": "npm run start:dev -w apps/backend",
+    "dev:frontend": "npm run dev -w apps/frontend",
+    "build:backend": "npm run build -w apps/backend",
+    "build:frontend": "npm run build -w apps/frontend",
+    "test:backend": "npm run test -w apps/backend",
+    "lint": "npm run lint -w apps/backend",
+    "format": "prettier --write \"**/*.{ts,tsx}\""
+  },
+  "devDependencies": {
+    "prettier": "^3.0.0"
+  }
+}

tsconfig.base.json

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+{
+  "compilerOptions": {
+    "target": "ES2022",
+    "module": "ESNext",
+    "moduleResolution": "bundler",
+    "strict": true,
+    "esModuleInterop": true,
+    "skipLibCheck": true,
+    "forceConsistentCasingInFileNames": true,
+    "resolveJsonModule": true,
+    "declaration": true,
+    "declarationMap": true,
+    "sourceMap": true
+  }
+}