This place is a bit off my normal path, so I don't go often. I've probably been here 2 or 3 times. I would only trust it at dinner when they're not so rushed. They're not normally a careful, slower paced place, but they are very nice and really do their best to keep you safe.
They have no GF bun, but the fries are safe.
I have celiac and haven't gotten sick, but I wouldn't be so bold as to call it truly "safe". You'll probably be fine if they're not too busy. Take that for what it's worth.
No