Remove conversation_id and bring back request ID logging (#7830)

codex-rs/Cargo.lock

@@ -1098,6 +1098,7 @@ dependencies = [
  "codex-apply-patch",
  "codex-arg0",
  "codex-async-utils",
+ "codex-client",
  "codex-core",
  "codex-execpolicy",
  "codex-file-search",