Remove Responses V1 websocket implementation (#13364)

V2 is the way to go!

codex-rs/core/tests/suite/client.rs

@@ -4,7 +4,6 @@ use codex_core::ModelProviderInfo;
 use codex_core::NewThread;
 use codex_core::Prompt;
 use codex_core::ResponseEvent;
-use codex_core::ResponsesWebsocketVersion;
 use codex_core::ThreadManager;
 use codex_core::WireApi;
 use codex_core::auth::AuthCredentialsStoreMode;
@@ -1643,7 +1642,7 @@ async fn azure_responses_request_includes_store_and_reasoning_ids() {
         provider.clone(),
         SessionSource::Exec,
         config.model_verbosity,
-        None::<ResponsesWebsocketVersion>,
+        false,
         false,
         false,
         None,