docs(client): add multi-server chatbot example

[EfeDurmaz16]

Summary

• add a runnable Streamable HTTP chatbot example that discovers tools from multiple MCP servers
• document MCP_SERVER_URLS and OpenAI-compatible LLM configuration
• expose tools with server-qualified names to avoid collisions

Fixes #740

Verification

• pnpm --filter @modelcontextprotocol/examples-client run check
• pre-push hook: Typecheck, Build, Lint

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Latest commit: e0e7943

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commit: e0e7943

[EfeDurmaz16]

Noting the current failing test (20) check so it is not left ambiguous: the failure is in test/server/cloudflareWorkers.test.ts with Miniflare returning Error: Network connection lost from the Cloudflare Workers compatibility test. This PR only adds the multi-server chatbot example and docs entry, and the build/client/server conformance jobs are passing.

I can adjust the PR if maintainers see a connection, but from the failed log this looks unrelated to the example code.