Use new ComponentPauseGenerator (#25183)

Also includes some (non critical) changes to the solution file to re-organize the Roslyn components.

Content.Shared/Atmos/Rotting/PerishableComponent.cs

@@ -7,7 +7,7 @@ namespace Content.Shared.Atmos.Rotting;
 /// This makes mobs eventually start rotting when they die.
 /// It may be expanded to food at some point, but it's just for mobs right now.
 /// </summary>
-[RegisterComponent, NetworkedComponent, AutoGenerateComponentState]
+[RegisterComponent, NetworkedComponent, AutoGenerateComponentState, AutoGenerateComponentPause]
 [Access(typeof(SharedRottingSystem))]
 public sealed partial class PerishableComponent : Component
 {
@@ -27,6 +27,7 @@ public sealed partial class PerishableComponent : Component
     /// Gasses are released, this is when the next gas release update will be.
     /// </summary>
     [DataField(customTypeSerializer: typeof(TimeOffsetSerializer))]
+    [AutoPausedField]
     public TimeSpan RotNextUpdate = TimeSpan.Zero;
 
     /// <summary>