Airbnb help/advice needed - Host of potential long-term stay stopped responding

The family is moving to Dallas next week and we need a place to stay for a couple of months until a longer-term housing situation comes available in late August/September.

We had something booked but it fell through on Monday. Since then I've been scrambling to find another solution. I contacted a Host regarding a house that's available and we were having discussions about whether or not they'd allow dogs for this extended stay.

I answered their last question and haven't heard anything from them in over a day. It's time for us to pull the trigger, but I don't want to book their spot without confirmation on the dogs. Is there any way to reach out to them aside from the App Chat? Or is there any other advice you can give on how to elicit a response?

I've subsequently messaged them to let them know we are close to making a decision but again, crickets.

Thanks in advance for your help.