refactor: update TypeScript configuration and test utilities for improved type safety

- Modify tsconfig.json to relax strict type checking for gradual migration
- Update test files to use more flexible type checking and mocking
- Add type-safe mock and test utility functions
- Improve error handling and type inference in test suites
- Export Tool interface and tools list for better testing support

__tests__/utils/test-utils.ts

@@ -141,8 +141,9 @@ export const cleanupMocks = (mocks: {
     liteMcpInstance: MockLiteMCPInstance;
     mockFetch: Mock<() => Promise<Response>>;
 }) => {
-    mocks.liteMcpInstance.addTool.mock.calls = [];
-    mocks.liteMcpInstance.start.mock.calls = [];
+    // Reset mock calls by creating a new mock
+    mocks.liteMcpInstance.addTool = mock((tool: Tool) => undefined);
+    mocks.liteMcpInstance.start = mock(() => Promise.resolve());
     mocks.mockFetch = mock(() => Promise.resolve(new Response()));
     globalThis.fetch = mocks.mockFetch;
 };