If your new car is an auto, you don’t need the handbrake anyway. Once the cars in park, the gearbox is locked.
I had numerous American cars in my younger days and haven’t had a manual car since the 90’s and never had a single problem because the handbrake hadn’t been applied.
Current car: Mini Countryman EV in very shiny black!
Previous car: MG HS Exclusive in nice shiny black.