build: add TypeScript configuration and generate declaration files

- Add tsconfig.json for TypeScript compilation with declaration and source map generation
- Generate .d.ts declaration files for all modules, services, controllers, and models
- Update package.json with NestJS dependencies and TypeScript development tools
- Include database files in the distribution output for persistence

dist/models/api-cache.model.d.ts

@@ -0,0 +1,7 @@
+import { Model } from 'sequelize-typescript';
+export declare class APICache extends Model {
+    query: string;
+    api_source: string;
+    response_json: string;
+    cached_at: Date;
+}