feat(cli): report opt-in command timings (#7042)

* feat(cli): report opt-in command timings

* fix(cli): time standalone MCP doctor

* fix(cli): retain timing on doctor errors

* fix(cli): preserve formatted version output with command timings

---------

Co-authored-by: dhruvac29 <dhruvac29@users.noreply.github.com>
Co-authored-by: gensokyo-dev <342580529+gensokyo-dev@users.noreply.github.com>

src/cliOutput.ts

@@ -180,7 +180,11 @@ export const parseCliOutputArguments = (
       const next = arguments_[index + 1];
       if (next === undefined || next.startsWith("-")) rootVersion = true;
       else versionEligible = false;
-    } else if (argument !== "--json" && argument !== "--format")
+    } else if (
+      argument !== "--json" &&
+      argument !== "--format" &&
+      argument !== "--timings"
+    )
       versionEligible = false;
     // Incur scans builtins across `--` and reads spaced value forms, which
     // normalizeCliArguments has produced. Mirror those effective values.