fix: prevent profile-switch transcription deadlock

MeetingAssistant/Recording/MeetingRecordingCoordinator.cs

@@ -805,7 +805,9 @@ public sealed class MeetingRecordingCoordinator
             run.RecordTranscriptActivity(segment, inactivityClock.Now);
             if (!string.IsNullOrWhiteSpace(segment.Text))
             {
-                await DismissInactivityPromptsForRunAsync(run, cancellationToken);
+                // Switching profiles holds the coordinator gate while draining this reader.
+                // Notification cleanup must not make transcript draining wait for that gate.
+                _ = DismissInactivityPromptsForRunAsync(run, run.CaptureCancellation);
             }
         }
     }
@@ -814,19 +816,26 @@ public sealed class MeetingRecordingCoordinator
         RecordingRun run,
         CancellationToken cancellationToken)
     {
-        await gate.WaitAsync(cancellationToken);
         try
         {
-            if (!ReferenceEquals(currentRun, run) || run.IsCaptureStopping)
+            await gate.WaitAsync(cancellationToken);
+            try
             {
-                return;
-            }
+                if (!ReferenceEquals(currentRun, run) || run.IsCaptureStopping)
+                {
+                    return;
+                }
 
-            await DismissInactivityPromptsAsync(cancellationToken);
+                await DismissInactivityPromptsAsync(cancellationToken);
+            }
+            finally
+            {
+                gate.Release();
+            }
         }
-        finally
+        catch (OperationCanceledException) when (cancellationToken.IsCancellationRequested)
         {
-            gate.Release();
+            // Pending cleanup is no longer needed after this run stops capturing.
         }
     }