We use a 3P copper spur for two people and two large (90lb) dogs, and I can confirm that it’s totally fine. I don’t have any other specific suggestions, but I’d imagine that nearly any true 3P tent would be fine. I have also had several 50lb-ish dogs over the years (Boxers), and they took up significantly less space than our current beasts.
Alternatively, my wife and I sometimes take two tents. This is advantageous for us because we’ve already invested into a quiver of 1P or 2P tents that make sense in this context. For example, my wife can use a 1P DCF trekking pole tent, and I can use a 2P DCF trekking pole tent with both dogs, and the total weight is substantially less than the 3P Copper Spur. Also, one of our dogs often eats a lot of grass and gets very gassy, and my wife can’t stand it.
If she and I went backpacking together more often, we might invest in a really lightweight 3P tent, but the majority of my trips are solo with one dog.