Actually fix round restart audio this time (#24754)

In which I'm a goober and don't clean up after
myself and accientally don't fix the issue I tried
to fix in my last round restart PR.

The audio is now maintained just like music during
restarts (yippee to ContentAudioSystem::OnRoundRestart)

This needs a refactor but at least the defect is fixed now.

Content.Client/GameTicking/Managers/ClientGameTicker.cs

@@ -20,8 +20,6 @@ namespace Content.Client.GameTicking.Managers
     {
         [Dependency] private readonly IStateManager _stateManager = default!;
         [Dependency] private readonly IEntityManager _entityManager = default!;
-        [Dependency] private readonly IConfigurationManager _configManager = default!;
-        [Dependency] private readonly SharedAudioSystem _audio = default!;
 
         [ViewVariables] private bool _initialized;
         private Dictionary<NetEntity, Dictionary<string, uint?>>  _jobsAvailable = new();