fix(ha): read transcode store config from the variable form deployments set

The startup configuration only reads JELLYFIN_ prefixed environment
variables, so the bare Jellyfin__TranscodeStore__* form used by the chart,
the manifests and the README is dropped and the Redis store is never
registered. Nothing logs the selected store, so the fallback is invisible.

- Read bare Jellyfin__* variables into the Jellyfin:* configuration root
- Keep an explicit JELLYFIN_ variable winning over the bare form
- Log the selected transcode session store at startup
- Ping Redis once at startup and log an unreachable store at Error
- Log endpoints only, never the connection string

Emby.Server.Implementations/MediaEncoding/TranscodeStoreConnectivityProbe.cs

@@ -0,0 +1,56 @@
+using System;
+using System.Threading;
+using System.Threading.Tasks;
+using MediaBrowser.Controller.MediaEncoding;
+using Microsoft.Extensions.DependencyInjection;
+using Microsoft.Extensions.Hosting;
+using Microsoft.Extensions.Logging;
+using StackExchange.Redis;
+
+namespace Emby.Server.Implementations.MediaEncoding;
+
+/// <summary>
+/// Pings the configured Redis transcode session store once at startup so an unreachable store is
+/// reported there instead of being discovered as a silent loss of cross-pod takeover.
+/// </summary>
+public sealed class TranscodeStoreConnectivityProbe : IHostedService
+{
+    private readonly IServiceProvider _serviceProvider;
+    private readonly ILogger<TranscodeStoreConnectivityProbe> _logger;
+
+    /// <summary>
+    /// Initializes a new instance of the <see cref="TranscodeStoreConnectivityProbe"/> class.
+    /// </summary>
+    /// <param name="serviceProvider">The service provider used to resolve the Redis connection.</param>
+    /// <param name="logger">The logger.</param>
+    public TranscodeStoreConnectivityProbe(IServiceProvider serviceProvider, ILogger<TranscodeStoreConnectivityProbe> logger)
+    {
+        _serviceProvider = serviceProvider;
+        _logger = logger;
+    }
+
+    /// <inheritdoc />
+    public async Task StartAsync(CancellationToken cancellationToken)
+    {
+        try
+        {
+            // Resolved here rather than injected: connecting must not be able to abort startup.
+            var redis = _serviceProvider.GetRequiredService<IConnectionMultiplexer>();
+            var roundTrip = await redis.GetDatabase().PingAsync().ConfigureAwait(false);
+
+            _logger.LogInformation(
+                "Redis transcode session store is reachable ({RoundTripMs}ms round trip). HA transcode takeover is active.",
+                (long)roundTrip.TotalMilliseconds);
+        }
+        catch (Exception ex)
+        {
+            _logger.LogError(
+                ex,
+                "Redis transcode session store is configured but UNREACHABLE. HA transcode takeover is not working: sessions stay local to this instance and are lost when it restarts. Check {Key}.",
+                TranscodeStoreOptions.RedisConnectionStringKey);
+        }
+    }
+
+    /// <inheritdoc />
+    public Task StopAsync(CancellationToken cancellationToken) => Task.CompletedTask;
+}