Been starting artichokes inside for years, never had problems. This year I'm getting some strange problem on the leaves.
Looks like pest damage best i can tell from the photos. Any sign of spider mites or fungus gnats?
The newer leaves look fine, so I'm thinking they might have been too wet right at the first, or the water was left on the leaves too long. They are liking whatever you're doing now, so don't worry about it.