Porting "Mobs now turn towards and are shifted based on grab state towards something pulling them"

code/game/atoms_movable.dm

@@ -25,6 +25,7 @@
 	var/inertia_move_delay = 5
 	var/pass_flags = 0
 	var/moving_diagonally = 0 //0: not doing a diagonal move. 1 and 2: doing the first/second step of the diagonal move
+	var/atom/movable/moving_from_pull		//attempt to resume grab after moving instead of before.
 	var/list/client_mobs_in_contents // This contains all the client mobs within this container
 	var/list/acted_explosions	//for explosion dodging
 	glide_size = 8
@@ -207,6 +208,7 @@
 	if(!Process_Spacemove(get_dir(pulling.loc, A)))
 		return
 	step(pulling, get_dir(pulling.loc, A))
+	return TRUE
 
 /atom/movable/proc/check_pulling()
 	if(pulling)
@@ -224,6 +226,8 @@
 		if(pulling.anchored || pulling.move_resist > move_force)
 			stop_pulling()
 			return
+	if(pulledby && moving_diagonally != FIRST_DIAG_STEP && get_dist(src, pulledby) > 1)		//separated from our puller and not in the middle of a diagonal move.
+		pulledby.stop_pulling()
 
 /atom/movable/Destroy(force)
 	QDEL_NULL(proximity_monitor)