fix(sample-servers): use factory function for MCP server in stateless mode

[xiaoyijun]

Summary

Fix the transport handling issue in sample-servers.

Problem: The original code used a singleton McpServer instance but called server.connect(transport) on every POST request. This is incorrect because in stateless mode, each request should have its own isolated server instance.

Solution: Following the MCP SDK's official simpleStatelessStreamableHttp.js example, use a factory function createMcpServer() to create a new server instance for each request.

Changes in todo-manager/index.ts:

• Wrap McpServer creation and tool registration in a createMcpServer() factory function
• Call createMcpServer() in each POST request handler
• Add mcpServer.close() cleanup in the response close handler

Changes in whoami/index.ts and whoami/index.js:

• Same pattern applied

Testing

N/A

Checklist

• .changeset
• unit tests
• integration tests
• necessary TSDoc comments

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

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