The exact rate for Iraq (+964) is something I've seen quoted differently across a few sources, so honestly, someone in the thread might have the most current number. But here's what I can break down from how the new conversation-based pricing works.
If the customer sends the first message, that's a user-initiated conversation. That's always been the cheaper route, and yes, it's free if you respond within the 24-hour service window. The second the conversation window closes or you try to send a proactive template message outside that window, you're looking at a business-initiated charge, and that's where the Iraq pricing gets murky.
Meta lists rates per country, and Iraq isn't one of the headline numbers they publish front and center. I'd check the official pricing page and look for the Middle East region breakdown. Last I checked, it was somewhere in the ballpark of a few cents per conversation, but don't quote me on that because they've adjusted rates twice this year already.
The real gotcha? If your bot flow takes longer than 24 hours to get back to someone, or you're doing a multi-step opt-in that spans days, you'll be eating those business-initiated fees per message. Keep the entire flow inside one service window and you're golden.