model-provider: route model discovery through HTTP client factory (#31361)

codex-rs/core/src/session/turn_context.rs

@@ -244,7 +244,10 @@ impl TurnContext {
             /*developer_instructions*/ None,
         );
         let available_models = models_manager
-            .list_models(RefreshStrategy::OnlineIfUncached)
+            .list_models(
+                RefreshStrategy::OnlineIfUncached,
+                config.http_client_factory(),
+            )
             .await;
 
         Self {