Even if you lost activation, you could always reactivate with your original code.
Send a refund request through the itch support page and state that you accidentally purchased twice. I'll ask them to let it through.
Thanks Ethan! :)
Following up on this - I haven't seen heard from itch yet. You can send a screenshot of this conversation in the ticket asking them to CC me. If you don't hear back in the next week, send me a DM on discord.