fix(supervisor): make backoff sleep interruptible by Stop/Shutdown

Replace the bare sleep(delay).await in the Restart backoff arm with a
tokio::select! over the timer and cmd_rx. Stop/Shutdown are now handled
immediately during backoff (Stop → Stopped, Shutdown → clean exit);
Start/Restart/Reconfigure skip the remaining delay and retry at once.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

crates/xy-supervisor/src/supervisor.rs

@@ -220,14 +220,65 @@ impl<S: Spawner> SupervisorTask<S> {
 
                             let delay = self.backoff.next();
 
-                            sleep(delay).await;
+                            enum Action {
+                                RetryNow,
+                                Cancel,
+                                Exit,
+                            }
 
-                            match self.do_start().await {
-                                Ok(c) => child = Some(c),
-                                Err(err) => {
-                                    warn!(name = %self.cfg.name, error = %err, "restart spawn failed");
-                                    self.set_state(ServerState::Failed);
+                            let mut delay_fut = std::pin::pin!(sleep(delay));
+
+                            let action = tokio::select! {
+                                _ = &mut delay_fut => Action::RetryNow,
+                                cmd = self.cmd_rx.recv() => match cmd {
+                                    None => Action::Exit,
+                                    Some(SupervisorCmd::Stop { ack }) => {
+                                        let _ = ack.send(StopAck::NotRunning);
+                                        Action::Cancel
+                                    }
+                                    Some(SupervisorCmd::Shutdown { ack }) => {
+                                        let _ = ack.send(());
+                                        return;
+                                    }
+                                    Some(SupervisorCmd::Start { ack }) => {
+                                        let _ = ack.send(StartAck::Started);
+                                        Action::RetryNow
+                                    }
+                                    Some(SupervisorCmd::Restart { ack }) => {
+                                        let _ = ack.send(());
+                                        Action::RetryNow
+                                    }
+                                    Some(SupervisorCmd::Reconfigure { new, ack }) => {
+                                        self.cfg = new;
+                                        self.backoff = Backoff::new(
+                                            self.cfg.restart.backoff_initial,
+                                            self.cfg.restart.backoff_max,
+                                        );
+                                        self.retry_window = RetryWindow::new(
+                                            Duration::from_secs(60),
+                                            self.cfg.restart.max_retries_per_minute,
+                                        );
+                                        let _ = ack.send(());
+                                        Action::RetryNow
+                                    }
+                                },
+                            };
+
+                            match action {
+                                Action::RetryNow => {
+                                    match self.do_start().await {
+                                        Ok(c) => child = Some(c),
+                                        Err(err) => {
+                                            warn!(name = %self.cfg.name, error = %err, "restart spawn failed");
+                                            self.set_state(ServerState::Failed);
+                                        }
+                                    }
                                 }
+                                Action::Cancel => {
+                                    self.started_at = None;
+                                    self.set_state(ServerState::Stopped);
+                                }
+                                Action::Exit => return,
                             }
                         }
                     }