Need help with dyeable armor

I have made a custom hat in block bench for my resource pack and have gotten it working so far, but I want it to be dyeable and am having trouble with that part.
I have tried summoning it as a leather helmet with the command give @a minecraft:lether_helmet[custom_name=[{"text":"Hat","italic":false}],rarity=common,equippable={slot:head,damage_on_hurt:0b},item_model="custom:hat"] and that allows it to be crafted with dyes but the new color does not show up on the model.
I have this as my json file generted with misode: {     "model": {       "type": "minecraft:model",       "model": "custom:item/hat",       "tints": [         {           "type": "minecraft:dye",           "default": 15073280         }       ]     }   }