Cleanup speech and emoting comps (#13194)

Networks speech and removes the shared prefix from emoting.
I have no idea if emoting is even being used or plan to be used in the interim.

Content.Shared/Emoting/EmoteSystem.cs

@@ -1,4 +1,7 @@
-namespace Content.Shared.Emoting
+using Robust.Shared.GameStates;
+using Robust.Shared.Serialization;
+
+namespace Content.Shared.Emoting
 {
     public sealed class EmoteSystem : EntitySystem
     {
@@ -7,12 +10,51 @@
             base.Initialize();
 
             SubscribeLocalEvent<EmoteAttemptEvent>(OnEmoteAttempt);
+            SubscribeLocalEvent<EmotingComponent, ComponentGetState>(OnEmotingGetState);
+            SubscribeLocalEvent<EmotingComponent, ComponentHandleState>(OnEmotingHandleState);
+        }
+
+        public void SetEmoting(EntityUid uid, bool value, EmotingComponent? component = null)
+        {
+            if (value && !Resolve(uid, ref component))
+                return;
+
+            component = EnsureComp<EmotingComponent>(uid);
+
+            if (component.Enabled == value)
+                return;
+
+            Dirty(component);
+        }
+
+        private void OnEmotingHandleState(EntityUid uid, EmotingComponent component, ref ComponentHandleState args)
+        {
+            if (args.Current is not EmotingComponentState state)
+                return;
+
+            component.Enabled = state.Enabled;
+        }
+
+        private void OnEmotingGetState(EntityUid uid, EmotingComponent component, ref ComponentGetState args)
+        {
+            args.State = new EmotingComponentState(component.Enabled);
         }
 
         private void OnEmoteAttempt(EmoteAttemptEvent args)
         {
-            if (!TryComp(args.Uid, out SharedEmotingComponent? emote) || !emote.Enabled)
+            if (!TryComp(args.Uid, out EmotingComponent? emote) || !emote.Enabled)
                 args.Cancel();
         }
+
+        [Serializable, NetSerializable]
+        private sealed class EmotingComponentState : ComponentState
+        {
+            public bool Enabled { get; }
+
+            public EmotingComponentState(bool enabled)
+            {
+                Enabled = enabled;
+            }
+        }
     }
 }