I wouldn’t leave the birds out unattended with the dogs until you’re positive they won’t chase them or harm them. I supervised mine for months (intro on leashes etc), before I realized the Beagle is terrified of large birds (including the hawks), and the other one is basically a 3-legged door...
The hawk will absolutely go after the birds with the dogs out there. And if they’re like my dogs, they’ll just watch. I only free range in the afternoon when I can keep an eye on the girls, and an ear open for hawks. I also didn’t free range my girls until they were adult size, worried they’d be...