Are Conures native to Belize?

I may or may not be going to Belize on a World Challenge Expedition, and since I have a domestic Green Cheeked Conure, I'm curious as to if I'll be seeing any of her wild relatives while I'm there. If they are in the wild in Belize, what kinds are there? Are there a lot, do they avoid people? I'd like to get a GoPro camera, do you think they'd get close enough to tourists to be recorded?

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