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/tui/src/status/helpers.rs

@@ -97,7 +97,9 @@ pub(crate) fn compose_account_display(
 }
 
 pub(crate) fn plan_type_display_name(plan_type: PlanType) -> String {
-    if plan_type.is_team_like() {
+    if plan_type == PlanType::EnterpriseCbpAutomation {
+        "Enterprise (Automation)".to_string()
+    } else if plan_type.is_team_like() {
         "Business".to_string()
     } else if plan_type.is_business_like() {
         "Enterprise".to_string()
@@ -222,6 +224,7 @@ mod tests {
             (PlanType::SelfServeBusinessProLite, "Business"),
             (PlanType::SelfServeBusinessUsageBased, "Business"),
             (PlanType::Business, "Enterprise"),
+            (PlanType::EnterpriseCbpAutomation, "Enterprise (Automation)"),
             (PlanType::EnterpriseCbpUsageBased, "Enterprise"),
             (PlanType::Enterprise, "Enterprise"),
             (PlanType::Edu, "Edu"),

codex-rs/tui/src/status/snapshots/codex_tui__status__tests__status_snapshot_shows_chatgpt_plan_without_email.snap

@@ -14,7 +14,7 @@ expression: sanitized
 │  Directory: [[workspace]]                                                │
 │  Permissions:   Custom (workspace with network access, Ask for approval) │
 │  Agents.md:     <none>                                                   │
-│  Account:       Enterprise                                               │
+│  Account:       Enterprise (Automation)                                  │
 │                                                                          │
 │  Limits:        data not available yet                                   │
 ╰──────────────────────────────────────────────────────────────────────────╯

codex-rs/tui/src/status/tests.rs

@@ -365,7 +365,7 @@ async fn status_snapshot_shows_chatgpt_plan_without_email() {
 
     write_chatgpt_auth(
         temp_home.path(),
-        ChatGptAuthFixture::new("access-chatgpt").plan_type("enterprise"),
+        ChatGptAuthFixture::new("access-chatgpt").plan_type("enterprise_cbp_automation"),
         AuthCredentialsStoreMode::File,
     )
     .expect("write email-less ChatGPT auth");
@@ -384,7 +384,7 @@ async fn status_snapshot_shows_chatgpt_plan_without_email() {
         account_display,
         StatusAccountDisplay::ChatGpt {
             email: None,
-            plan: Some("Enterprise".to_string()),
+            plan: Some("Enterprise (Automation)".to_string()),
         }
     );
     let usage = TokenUsage::default();