Support Enterprise automation account plans (#36228)

## What changed

- Recognize `enterprise_cbp_automation` as an Enterprise workspace plan in authentication, backend responses, and app-server account and rate-limit APIs.
- Expose the plan in generated protocol schemas and display it as `Enterprise (Automation)` in account status.
- Apply existing workspace eligibility and Business usage-limit behavior to the new plan.

## Testing

- Cover JWT parsing, plan conversion and serialization, app-server responses, workspace eligibility, usage-limit formatting, and TUI status rendering.

GitOrigin-RevId: d84ae2be3dd60fe398f226e6dc434efe27a387a5

codex-rs/login/src/token_data_tests.rs

@@ -122,6 +122,27 @@ fn id_token_info_parses_usage_based_business_plans() {
     assert_eq!(enterprise_cbp.is_workspace_account(), true);
 }
 
+#[test]
+fn id_token_info_parses_enterprise_cbp_automation_plan() {
+    let jwt = fake_jwt(serde_json::json!({
+        "email": "service-account@example.com",
+        "https://api.openai.com/auth": {
+            "chatgpt_plan_type": "enterprise_cbp_automation"
+        }
+    }));
+
+    let info = parse_chatgpt_jwt_claims(&jwt).expect("should parse");
+    assert_eq!(
+        info.get_chatgpt_plan_type().as_deref(),
+        Some("Enterprise (Automation)")
+    );
+    assert_eq!(
+        info.get_chatgpt_plan_type_raw().as_deref(),
+        Some("enterprise_cbp_automation")
+    );
+    assert_eq!(info.is_workspace_account(), true);
+}
+
 #[test]
 fn id_token_info_parses_self_serve_business_prolite_plan() {
     let jwt = fake_jwt(serde_json::json!({