Offer arrived, can I still ask for more? after 4 years as a barista

It is the first offer in 6 months and I do not want to mess it up. I have been trying to stay organised about it. I have a competing interview next week. What wording worked?

Ask about the range, not a number on its own. It felt more collaborative.

I thanked them and said I was excited but hoped we could talk about the pay. They came back with a bit more.