Proposal: keyless Parallel Search MCP client example #1332

Would a standalone Parallel Search MCP client example fit in examples/clients? It would demonstrate connecting to a hosted Streamable HTTP server, discovering its tools, and printing web search and page fetch results without running a local server or configuring a Parallel API key.

I propose adding clients_parallel_search alongside the existing HTTP client example, with a query argument and an optional URL to fetch. It would use the existing rmcp transport and list_all_tools / call_tool APIs against https://search.parallel.ai/mcp, with run instructions in the client examples README. Existing examples and SDK defaults would stay unchanged.

Planned validation: run the documented Cargo command in a clean environment without credentials, verify discovered tool schemas, and exercise search and fetch through the example with useful output. Parallel Search MCP supports anonymous use at lower rate limits.

I work at Parallel. I am raising this before a PR to follow the discuss-first contribution guide. Would this be a useful example to include?