docs: add multi-server tool routing example

[lil-goat]

Fixes #740

Summary

• Adds a Streamable HTTP multi-server tool routing example under examples/client.
• Accepts multiple server URLs, creates one Client + StreamableHTTPClientTransport per URL, and calls listTools() for each server.
• Keeps a { serverName, client, tools } registry plus a tool-name routing map so selected tool calls are sent back to the owning MCP client.
• Fails fast on duplicate tool names across servers to avoid ambiguous routing.

Validation

• pnpm --filter @modelcontextprotocol/examples-client typecheck
• pnpm --filter @modelcontextprotocol/examples-client exec eslint src/multiServerToolRouting.ts
• pnpm exec prettier --check examples/client/src/multiServerToolRouting.ts examples/client/README.md

[changeset-bot]

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Latest commit: 9bc3a7e

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