Made token refresh code resilient to missing id_token (#5782)

This PR does the following:
1. Changes `try_refresh_token` to handle the case where the endpoint
returns a response without an `id_token`. The OpenID spec indicates that
this field is optional and clients should not assume it's present.
2. Changes the `attempt_stream_responses` to propagate token refresh
errors rather than silently ignoring them.
3. Fixes a typo in a couple of error messages (unrelated to the above,
but something I noticed in passing) - "reconnect" should be spelled
without a hyphen.

This PR does not implement the additional suggestion from @pakrym-oai
that we should sign out when receiving `refresh_token_expired` from the
refresh endpoint. Leaving this as a follow-on because I'm undecided on
whether this should be implemented in `try_refresh_token` or its
callers.

codex-rs/core/src/client.rs

@@ -389,9 +389,14 @@ impl ModelClient {
 
                 if status == StatusCode::UNAUTHORIZED
                     && let Some(manager) = auth_manager.as_ref()
-                    && manager.auth().is_some()
+                    && let Some(auth) = auth.as_ref()
+                    && auth.mode == AuthMode::ChatGPT
                 {
-                    let _ = manager.refresh_token().await;
+                    manager.refresh_token().await.map_err(|err| {
+                        StreamAttemptError::Fatal(CodexErr::Fatal(format!(
+                            "Failed to refresh ChatGPT credentials: {err}"
+                        )))
+                    })?;
                 }
 
                 // The OpenAI Responses endpoint returns structured JSON bodies even for 4xx/5xx