feat(stats): flip home Plays card live (Phase 16.5)

Add TotalPlays + UniqueListeners to HomeStatsDto, composed at
StatsController from IEventService (no migration). Card reads via
existing persistent-state-bridged round-trip.

DeepDrftData/EventManager.cs

@@ -54,6 +54,20 @@ public class EventManager : IEventService
         }
     }
 
+    public async Task<ResultContainer<long>> GetTotalPlayCount(CancellationToken cancellationToken = default)
+    {
+        try
+        {
+            var count = await _repository.CountTotalPlaysAsync(cancellationToken);
+            return ResultContainer<long>.CreatePassResult(count);
+        }
+        catch (Exception e)
+        {
+            _logger.LogError(e, "Failed to count total plays");
+            return ResultContainer<long>.CreateFailResult(e.Message);
+        }
+    }
+
     public async Task<ResultContainer<int>> GetDistinctListenerCount(CancellationToken cancellationToken = default)
     {
         try

DeepDrftData/IEventService.cs

@@ -21,6 +21,13 @@ public interface IEventService
     /// <summary>Record one share: append a <c>share_event</c> row. Target and channel come straight from the client.</summary>
     Task<Result> RecordShare(ShareTargetType targetType, string targetKey, ShareChannel channel, string? anonId = null, CancellationToken cancellationToken = default);
 
+    /// <summary>
+    /// Site-wide total play count (Phase 16 §5 — all-time): the sum of every <c>play_counter</c> row's
+    /// three bucket columns. Zero until the telemetry migration is applied. The home Plays card's primary
+    /// figure; the controller composes it onto <c>HomeStatsDto</c> alongside the track-domain figures.
+    /// </summary>
+    Task<ResultContainer<long>> GetTotalPlayCount(CancellationToken cancellationToken = default);
+
     /// <summary>
     /// Site-wide distinct-listener count (Phase 16 §3, D3 — all-time): distinct non-null <c>anon_id</c>
     /// values across all play events. Null tokens are excluded (not a known listener). The capability for

DeepDrftData/Repositories/EventRepository.cs

@@ -83,6 +83,16 @@ public class EventRepository
         }
     }
 
+    /// <summary>
+    /// Site-wide total plays: the sum of every counter's three bucket columns across all rows (Phase 16
+    /// §5). Sums the mapped columns directly rather than <see cref="PlayCounter.TotalPlays"/>, which is an
+    /// EF-ignored computed property and so not translatable. An empty counter table sums to 0 (the home
+    /// card's expected reading until the telemetry migration is applied).
+    /// </summary>
+    public Task<long> CountTotalPlaysAsync(CancellationToken ct = default)
+        => _context.PlayCounters
+            .SumAsync(c => c.PartialCount + c.SampledCount + c.CompleteCount, ct);
+
     /// <summary>
     /// Count distinct non-null anon ids across every play event (Phase 16 §3 / §4.2 — the all-time
     /// unique-listener metric, D3). Null anon ids (events where the listener sent no token, or storage