Fixes some cases with mobs attached a mob. Can't enter a mech if attachment is done mid-climb. Can't get inside mech sleeper or closet if you have a mob attached to you. All sorts of teleports now properly teleport the attached mob as well.

Changed the warning message when climbing mech with a mob attached to be more general instead of specifically about slimes.

Getting inside a closet or machine now immediately breaks your pull and the pull of your puller.
Using ethereal jaunt now also immediately break your pull.

Fixes being able to get inside a mech sleeper while buckled by buckling mid-insertion.

code/game/objects/structures/crates_lockers/closets.dm

@@ -122,7 +122,7 @@
 
 	if(istype(AM, /mob/living))
 		var/mob/living/L = AM
-		if(L.buckled || L.buckled_mob || L.mob_size > max_mob_size) //buckled mobs and mobs too big for the container don't get inside closets.
+		if(L.buckled || L.buckled_mob || L.mob_size > max_mob_size) //buckled mobs, mobs with another mob attached, and mobs too big for the container don't get inside closets.
 			return 0
 		if(L.mob_size > MOB_SIZE_TINY) //decently sized mobs take more space than objects.
 			var/mobs_stored = 0
@@ -133,6 +133,7 @@
 		if(L.client)
 			L.client.perspective = EYE_PERSPECTIVE
 			L.client.eye = src
+		L.stop_pulling()
 	else if(!istype(AM, /obj/item) && !istype(AM, /obj/effect/dummy/chameleon))
 		return 0
 	else if(AM.density || AM.anchored)
@@ -140,6 +141,8 @@
 	else if(AM.flags & NODROP)
 		return 0
 	AM.loc = src
+	if(AM.pulledby)
+		AM.pulledby.stop_pulling()
 	return 1
 
 /obj/structure/closet/proc/close()