fix: keep first-task coach host visible (Closes #1272)

frontend/mobile-first-task.js

@@ -62,7 +62,10 @@
 
   function renderCoach() {
     if (!options.coach) return;
-    options.coach.hidden = !(options.mediaQuery.matches && state() === 'coaching' && options.isTodayActive());
+    const visible = options.mediaQuery.matches && state() === 'coaching' && options.isTodayActive();
+    options.coach.hidden = !visible;
+    const host = options.coach.closest?.('[data-mobile-today-hud]');
+    if (visible && host) host.hidden = false;
   }
 
   function render() {

tests/test_mobile_first_task.py

@@ -190,6 +190,26 @@ process.stdout.write(JSON.stringify({offline, calls, sheetOpen:sheet.open}));
     }
 
 
+def test_first_task_coaching_reveals_its_mobile_today_host():
+    result = run_node(
+        """
+const values = new Map([['stackchain.first-task.v1:timmy', 'coaching']]);
+const host = new Element(); host.hidden = true;
+const coach = new Element(); coach.hidden = true; coach.closest = () => host;
+const controller = createFirstTask({
+  storage:{getItem:key=>values.get(key)||null,setItem:(key,value)=>values.set(key,value)},
+  getLogin:()=> 'timmy',hasWork:()=>true,isTodayActive:()=>true,isOnline:()=>true,
+  mediaQuery:{matches:true},sheet:new Element(),title:new Element(),coach,receipt:new Element(),
+  findButton:new Element(),createButton:new Element(),setupButton:new Element(),closeButton:new Element(),status:new Element(),
+});
+controller.refresh();
+process.stdout.write(JSON.stringify({coachHidden:coach.hidden,hostHidden:host.hidden}));
+"""
+    )
+
+    assert result == {"coachHidden": False, "hostHidden": False}
+
+
 def test_first_task_exposes_completion_operation_before_showing_local_success():
     result = run_node(
         """