feat: add ESLint flat config, Prettier, dependency-cruiser, and Husky

Setup code quality tooling for the monorepo:
- ESLint 9 flat config with TypeScript, import ordering, and NestJS rules
- Prettier with consistent formatting across all files
- dependency-cruiser enforcing module boundary rules (no cross-module internals, no circular deps)
- Husky + lint-staged for pre-commit hooks
- Auto-fixed existing files for type imports and import ordering

Co-Authored-By: Paperclip <noreply@paperclip.ing>

apps/web/tsconfig.json

@@ -2,11 +2,7 @@
   "extends": "../../tsconfig.base.json",
   "compilerOptions": {
     "target": "ES2017",
-    "lib": [
-      "DOM",
-      "DOM.Iterable",
-      "ES2022"
-    ],
+    "lib": ["DOM", "DOM.Iterable", "ES2022"],
     "module": "ESNext",
     "moduleResolution": "Bundler",
     "jsx": "preserve",
@@ -17,9 +13,7 @@
       }
     ],
     "paths": {
-      "@/*": [
-        "./*"
-      ]
+      "@/*": ["./*"]
     },
     "declaration": false,
     "declarationMap": false,
@@ -28,14 +22,6 @@
     "allowJs": true,
     "isolatedModules": true
   },
-  "include": [
-    "next-env.d.ts",
-    "**/*.ts",
-    "**/*.tsx",
-    ".next/types/**/*.ts"
-  ],
-  "exclude": [
-    "node_modules",
-    ".next"
-  ]
+  "include": ["next-env.d.ts", "**/*.ts", "**/*.tsx", ".next/types/**/*.ts"],
+  "exclude": ["node_modules", ".next"]
 }