Fix example for implementing SSE Server in TypeScript

[tadasant]

Motivation and Context

I was working through implementing an SSE server in TypeScript, and this is the current example:

const server = new Server({
  name: "example-server",
  version: "1.0.0"
}, {
  capabilities: {}
});

const transport = new SSEServerTransport("/message", response);
await server.connect(transport);

It is unclear what response is meant to be here, and this seems to be just the definition for the GET part of the connection (there no mention of transport.handlePostMessage).

The example I've created has close parity with the equivalent Python example (using express as an analog to Starlette).

How Has This Been Tested?

I tested the code while working on my server here by connecting to it with wong2's CLI tool, and trying a request/response successfully.

I've run the docs UI locally with mintlify and it looks well-formatted:

Breaking Changes

None.

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation update

Checklist

• I have read the MCP Documentation
• My code follows the repository's style guidelines
• New and existing tests pass locally
• I have added appropriate error handling
• I have added or updated documentation as needed

[jspahrsummers]

Thank you very much! This is a great fix. ✨