[elicitations] Switch to use MCP style elicitation payload for mcp tool approvals. (#13621)

- [x] Switch to use MCP style elicitation payload for mcp tool
approvals.
- [ ] TODO: Update the UI to support the full spec.

codex-rs/rmcp-client/src/logging_client_handler.rs

@@ -42,6 +42,7 @@ impl ClientHandler for LoggingClientHandler {
     ) -> Result<CreateElicitationResult, rmcp::ErrorData> {
         (self.send_elicitation)(context.id, request)
             .await
+            .map(Into::into)
             .map_err(|err| rmcp::ErrorData::internal_error(err.to_string(), None))
     }