poc-daemon: fix idle nudge and notification delivery

- Strip context bloat from nudge messages — no more IRC digest, git
  log, or work state inlined into tmux send-keys (was silently dropping
  the entire message). Nudge now just includes pending notification count.
- Notifications no longer send directly via tmux — they flow through
  the idle nudge only. Urgent notifications reset the fired flag so
  the nudge fires sooner.
- Add test-nudge RPC that exercises the actual daemon send path
  (test-send was client-side only, didn't test the real code path).
- Update nudge text: "Let your feelings guide your thinking."
- Increase send-keys sleep from 200ms to 500ms.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

poc-daemon/src/main.rs

@@ -121,6 +121,8 @@ enum Command {
         /// Message to send
         message: Vec<String>,
     },
+    /// Fire a test nudge through the daemon (tests the actual idle send path)
+    TestNudge,
     /// Dump full internal state as JSON
     Debug,
     /// Shut down daemon
@@ -272,6 +274,12 @@ async fn client_main(cmd: Command) -> Result<(), Box<dyn std::error::Error>> {
                     println!("send_prompt(pane={}, ok={}): {}", pane, ok, msg);
                     return Ok(());
                 }
+                Command::TestNudge => {
+                    let reply = daemon.test_nudge_request().send().promise.await?;
+                    let r = reply.get()?;
+                    println!("sent={} message={}", r.get_sent(), r.get_message()?.to_str()?);
+                    return Ok(());
+                }
                 Command::Afk => {
                     daemon.afk_request().send().promise.await?;
                     println!("marked AFK");
@@ -526,7 +534,7 @@ async fn server_main() -> Result<(), Box<dyn std::error::Error>> {
 
                     // Drain module notifications into state
                     Some(notif) = notify_rx.recv() => {
-                        state.borrow().maybe_prompt_notification(
+                        state.borrow_mut().maybe_prompt_notification(
                             &notif.ntype, notif.urgency, &notif.message,
                         );
                         state.borrow_mut().notifications.submit(