Fixes carbon bodytypes not always being synchronized with bodyparts (#76522)

Fixes https://github.com/tgstation/tgstation/issues/76481
TLDR /mob/living/carbon/human/species subtypes were NOT updating their
bodytypes on spawn due to absurd and wacky carbon bodypart creation code
that meant try_attach_limb() never got called (What the FUCK?)

code/modules/surgery/bodyparts/dismemberment.dm

@@ -133,7 +133,6 @@
 			organ.transfer_to_limb(src, phantom_owner)
 
 	update_icon_dropped()
-	synchronize_bodytypes(phantom_owner)
 	phantom_owner.update_health_hud() //update the healthdoll
 	phantom_owner.update_body()
 	phantom_owner.update_body_parts()
@@ -359,7 +358,6 @@
 	// Bodyparts need to be sorted for leg masking to be done properly. It also will allow for some predictable
 	// behavior within said bodyparts list. We sort it here, as it's the only place we make changes to bodyparts.
 	new_limb_owner.bodyparts = sort_list(new_limb_owner.bodyparts, GLOBAL_PROC_REF(cmp_bodypart_by_body_part_asc))
-	synchronize_bodytypes(new_limb_owner)
 	new_limb_owner.updatehealth()
 	new_limb_owner.update_body()
 	new_limb_owner.update_damage_overlays()
@@ -411,16 +409,6 @@
 	new_head_owner.update_body()
 	new_head_owner.update_damage_overlays()
 
-///Makes sure that the owner's bodytype flags match the flags of all of it's parts.
-/obj/item/bodypart/proc/synchronize_bodytypes(mob/living/carbon/carbon_owner)
-	var/all_limb_flags
-	for(var/obj/item/bodypart/limb as anything in carbon_owner.bodyparts)
-		for(var/obj/item/organ/external/ext_organ as anything in limb.external_organs)
-			all_limb_flags = all_limb_flags | ext_organ.external_bodytypes
-		all_limb_flags = all_limb_flags | limb.bodytype
-
-	carbon_owner.bodytype = all_limb_flags
-
 /mob/living/carbon/proc/regenerate_limbs(list/excluded_zones = list())
 	SEND_SIGNAL(src, COMSIG_CARBON_REGENERATE_LIMBS, excluded_zones)
 	var/list/zone_list = list(BODY_ZONE_HEAD, BODY_ZONE_CHEST, BODY_ZONE_R_ARM, BODY_ZONE_L_ARM, BODY_ZONE_R_LEG, BODY_ZONE_L_LEG)

code/modules/surgery/bodyparts/helpers.dm

@@ -168,7 +168,15 @@
 	if(new_bodypart)
 		new_bodypart.update_limb(is_creating = TRUE)
 
+/// Makes sure that the owner's bodytype flags match the flags of all of it's parts and organs
+/mob/living/carbon/proc/synchronize_bodytypes()
+	var/all_limb_flags = NONE
+	for(var/obj/item/bodypart/limb as anything in bodyparts)
+		for(var/obj/item/organ/external/ext_organ as anything in limb.external_organs)
+			all_limb_flags |= ext_organ.external_bodytypes
+		all_limb_flags |= limb.bodytype
 
+	bodytype = all_limb_flags
 
 /proc/skintone2hex(skin_tone)
 	. = 0

code/modules/surgery/bodyparts/parts.dm

@@ -326,13 +326,12 @@
 	max_damage = 100
 	should_draw_greyscale = FALSE
 
-/// Parent Type for arms, should not appear in game.
+/// Parent Type for legs, should not appear in game.
 /obj/item/bodypart/leg
 	name = "leg"
 	desc = "This item shouldn't exist. Talk about breaking a leg. Badum-Tss!"
 	attack_verb_continuous = list("kicks", "stomps")
 	attack_verb_simple = list("kick", "stomp")
-	bodytype = BODYTYPE_HUMANOID | BODYTYPE_MONKEY | BODYTYPE_ORGANIC
 	max_damage = 50
 	body_damage_coeff = 0.75
 	can_be_disabled = TRUE

code/modules/surgery/organs/external/_external_organ.dm

@@ -86,7 +86,7 @@
 	add_to_limb(ownerlimb)
 
 	if(external_bodytypes)
-		limb.synchronize_bodytypes(receiver)
+		receiver.synchronize_bodytypes()
 
 	receiver.update_body_parts()
 
@@ -123,7 +123,7 @@
 	ownerlimb.external_organs -= src
 	ownerlimb.remove_bodypart_overlay(bodypart_overlay)
 	if(ownerlimb.owner && external_bodytypes)
-		ownerlimb.synchronize_bodytypes(ownerlimb.owner)
+		ownerlimb.owner.synchronize_bodytypes()
 	ownerlimb = null
 	return ..()