Happy Ghasts with NoAI do not update or save ropes texture

Happy Ghasts with NoAI do not update or save ropes texture.

Steps to Reproduce:

1. Summon a happy ghast with NoAI equipped with a harness
   /summon minecraft:happy_ghast ~ ~ ~ {NoAI:1b,equipment:{body:{id:lime_harness,count:1}}}

2. Spawn a mob that leases to a happy ghast with quad lead connections such as a sniffer or camel, or a boat

3. Leash the mob/boat to the happy ghast

   • ❌ Observed: texture does not update

   • ✔ Expected: texture would update

4. Modify happy ghast’s data to NoAI false
   /data modify entity @n[type=minecraft:happy_ghast] NoAI set value 0b

   • Observed: texture updates immediately

5. Set NoAI on happy ghast texture back to true
   /data modify entity @n[type=minecraft:happy_ghast] NoAI set value 1b

6. Leave world and reopen it

   • ❌ Observed: ropes texture is lost

   • ✔ Expected: ropes texture would persist