chore: update lint scripts and improve formatting consistency

- Added `lint:fix` scripts for backend, frontend, and documentation.
- Enabled `biome check --write` for unsafe fixes in backend scripts.
- Fixed imports, formatting, and logging for improved code clarity.
- Adjusted service unit tests for better readability and maintainability.

backend/src/auth/auth.controller.spec.ts

@@ -24,6 +24,7 @@ import { ConfigService } from "@nestjs/config";
 import { Test, TestingModule } from "@nestjs/testing";
 import { AuthController } from "./auth.controller";
 import { AuthService } from "./auth.service";
+import { BootstrapService } from "./bootstrap.service";
 
 jest.mock("iron-session", () => ({
 	getIronSession: jest.fn().mockResolvedValue({
@@ -44,6 +45,10 @@ describe("AuthController", () => {
 		refresh: jest.fn(),
 	};
 
+	const mockBootstrapService = {
+		consumeToken: jest.fn(),
+	};
+
 	const mockConfigService = {
 		get: jest
 			.fn()
@@ -55,6 +60,7 @@ describe("AuthController", () => {
 			controllers: [AuthController],
 			providers: [
 				{ provide: AuthService, useValue: mockAuthService },
+				{ provide: BootstrapService, useValue: mockBootstrapService },
 				{ provide: ConfigService, useValue: mockConfigService },
 			],
 		}).compile();
@@ -75,7 +81,6 @@ describe("AuthController", () => {
 				password: "password",
 				username: "test",
 			};
-			// biome-ignore lint/suspicious/noExplicitAny: Necessary to avoid defining full DTO in test
 			await controller.register(dto as any);
 			expect(authService.register).toHaveBeenCalledWith(dto);
 		});