We have had many cats over the past 20 years down here in suburban Mass. We lost one last year (during the evening hours) to a predator. I am not sure if it was a coyote or a fisher. I have seen both in the area.
Our last cat (14 years old) is allowed out during the day. We also use a late-afternoon feeding to entice him in. He is not allowed out after that.
I agree that once they get a taste of the outdoors, they will do anything possible to keep going out. I think that you would have one miserable cat on your hands if you tried to keep her in. The fact that you have 3 dogs going in and out doesn't make it any easier.
Good luck
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