[codex] Support remote exec cwd in TUI startup (#17142)

When running with remote executor the cwd is the remote path. Today we
check for existence of a local directory on startup and attempt to load
config from it.

For remote executors don't do that.

codex-rs/exec-server/src/environment.rs

@@ -69,6 +69,11 @@ impl EnvironmentManager {
         self.exec_server_url.as_deref()
     }
 
+    /// Returns true when this manager is configured to use a remote exec server.
+    pub fn is_remote(&self) -> bool {
+        self.exec_server_url.is_some()
+    }
+
     /// Returns the cached environment, creating it on first access.
     pub async fn current(&self) -> Result<Option<Arc<Environment>>, ExecServerError> {
         self.current_environment
@@ -227,6 +232,7 @@ mod tests {
 
         assert!(!manager.disabled);
         assert_eq!(manager.exec_server_url(), None);
+        assert!(!manager.is_remote());
     }
 
     #[test]
@@ -235,6 +241,15 @@ mod tests {
 
         assert!(manager.disabled);
         assert_eq!(manager.exec_server_url(), None);
+        assert!(!manager.is_remote());
+    }
+
+    #[test]
+    fn environment_manager_reports_remote_url() {
+        let manager = EnvironmentManager::new(Some("ws://127.0.0.1:8765".to_string()));
+
+        assert!(manager.is_remote());
+        assert_eq!(manager.exec_server_url(), Some("ws://127.0.0.1:8765"));
     }
 
     #[tokio::test]