Pronounce it however you want. Just own it. Say it with confidence. Say it with a wink.
If someone corrects you, smile. Tell them you’re using the historical Greek pronunciation. That’s a lie. But it sounds smart. They’ll back off.
Now go make some anise cookies. Or anise tea. Or anise-infused toothpaste. I don’t judge. Just say the word loud and proud. Ann-iss. Ann-ees. Uh-neese. You are now a pronunciation master.
Mystery solved. Pass the cookies.