Can anyone help me with making this specific loot table entry?

Just found a way to bypass the need of this version adding enchanted weapons, by adding the enchantment in the tag string instead of a string of its own. Loot table looks like this now

{
"pools": [
    {
        "rolls": {
            "min": 2,
            "max": 6
        },
        "bonus_rolls": {
            "min": 2,
            "max": 3
        },
        "entries": [
            {
                "type": "item",
                "weight": 1,
                "name": "minecraft:iron_axe",
                "functions": [
                    {
                        "function": "set_damage",
                        "damage": {
                            "min": 0.15,
                            "max": 0.65
                        }
                    },
                    {
                        "function": "set_nbt",
                        "tag": "{display:{Name:\"{\\\"text\\\":\\\"The Zombie Cleaver\\\",\\\"color\\\":\\\"dark_green\\\",\\\"bold\\\":\\\"true\\\"}\"},Enchantments:[{id:\"minecraft: smite\",lvl:8}]}"
                    }
                ]
            }
        ]
    }
]

}