Record QUIC traces in moqt_simulator.

PiperOrigin-RevId: 680690322

quiche/quic/moqt/tools/moqt_simulator_bin.cc

diff --git a/quiche/quic/moqt/tools/moqt_simulator_bin.cc b/quiche/quic/moqt/tools/moqt_simulator_bin.cc
index d111d16..0ebb615 100644
--- a/quiche/quic/moqt/tools/moqt_simulator_bin.cc
+++ b/quiche/quic/moqt/tools/moqt_simulator_bin.cc
@@ -311,7 +311,9 @@
         receiver_(simulator_.GetClock(), parameters.deadline),
         adjuster_(simulator_.GetClock(), client_endpoint_.session()->session(),
                   &generator_),
-        parameters_(parameters) {}
+        parameters_(parameters) {
+    client_endpoint_.RecordTrace();
+  }
 
   MoqtSession* client_session() { return client_endpoint_.session(); }
   MoqtSession* server_session() { return server_endpoint_.session(); }