MCP Server tracing instrumentation

[betegon]

Description

We want to have instrumentation for @modelcontextprotocol/sdk

For now, and due to nodejs/import-in-the-middle#187, we will start with manual instrumentation (i.e. wrapMcpServerWithSentry(McpServer)).


Prior tasks done

• Associate handler spans with POST requests (blocked by Pass requestId to handlers via metadata modelcontextprotocol/typescript-sdk#358)

Auto instrumentation is being tracked here #16052

[github-actions]

A PR closing this issue has just been released 🚀

This issue was referenced by PR #16817, which was included in the 10.0.0 release.