How do I remove item lore?

Item lores are stored in the display.Lore tag of the item:

{
	display: {
		Name: '{"text":"Skills!"}',
		Lore: [
			'{"text":"Your Skills"}'
		]
	}
}

The anvil can only edit the Name tag, but not the lore. You can use commands to edit the lore, such as:

give @s diamond_sword{display:{Lore:['"Text"']}}

It is possible to edit the item lore on items, but not while they're in a player's inventory. To do this, place your item in a chest, then run the following command:

data modify block <x> <y> <z> Items[0].tag.display.Lore set value ['"New Lore"']