Suppress errors for requested session stops

server/src/session/claude.rs

@@ -802,11 +802,13 @@ async fn follow(
             process::Liveness::Dead if complete > 0 => {}
             process::Liveness::Dead => {
                 queue.lock().unwrap().close(&sink, "the session ended");
-                let detail = stderr_tail(&stderr_path);
-                if !detail.is_empty() {
-                    let _ = sink.send(Event::Error {
-                        message: format!("{label} exited:\n{detail}"),
-                    });
+                if !process::stopping(&session_dir) {
+                    let detail = stderr_tail(&stderr_path);
+                    if !detail.is_empty() {
+                        let _ = sink.send(Event::Error {
+                            message: format!("{label} exited:\n{detail}"),
+                        });
+                    }
                 }
                 let _ = sink.send(Event::Status {
                     state: SessionStatus::Exited,