I think you misunderstood me. Property are based on the budget of the town/city and they can only collect enough to fund budget. If a budget with increases is passed then your taxes go up enough to fund the increase even though the value of your home may decrease for some reason.
I don’t think you understand what I am saying about Texas. They will collect property taxes based on the assessed value of your property, subject to a 10% maximum increase in any one year. Period. Budget means very little in that regard here in Texas. Stupid, I know, but it’s how they do it here.