feat(392): expose ProgramSchedule.padToNearestMinute on the REST API

ErsatzTV.Application/ProgramSchedules/Commands/UpdateProgramScheduleHandler.cs

@@ -40,12 +40,15 @@ public class UpdateProgramScheduleHandler(
         CancellationToken cancellationToken)
     {
         // we need to refresh playouts if the playback order or keep multi-episodes has been modified
+        int? normalizedPad = request.PadToNearestMinute is int upm && upm > 0 ? upm : null;
+
         bool needToRefreshPlayout =
             programSchedule.KeepMultiPartEpisodesTogether != request.KeepMultiPartEpisodesTogether ||
             programSchedule.TreatCollectionsAsShows != request.TreatCollectionsAsShows ||
             programSchedule.ShuffleScheduleItems != request.ShuffleScheduleItems ||
             programSchedule.RandomStartPoint != request.RandomStartPoint ||
-            programSchedule.FixedStartTimeBehavior != request.FixedStartTimeBehavior;
+            programSchedule.FixedStartTimeBehavior != request.FixedStartTimeBehavior ||
+            programSchedule.PadToNearestMinute != normalizedPad;
 
         programSchedule.Name = request.Name;
         programSchedule.KeepMultiPartEpisodesTogether = request.KeepMultiPartEpisodesTogether;
@@ -54,6 +57,7 @@ public class UpdateProgramScheduleHandler(
         programSchedule.ShuffleScheduleItems = request.ShuffleScheduleItems;
         programSchedule.RandomStartPoint = request.RandomStartPoint;
         programSchedule.FixedStartTimeBehavior = request.FixedStartTimeBehavior;
+        programSchedule.PadToNearestMinute = normalizedPad;
 
         // bump the optimistic-concurrency token so this config edit rotates other clients' ETags (#253).
         // Force-write past a concurrent Version bump (e.g. a parallel schedule-items replace) instead of