Note when and where thermostat blank happens
Check the display, system switch, accessible batteries if the model uses them, and whether other equipment has power, but stop if there is water, burning odor, damaged wiring, or repeated breaker or fuse operation.
Notice next: A blank battery-powered display is a different branch from loss of low-voltage power, an open service switch, a condensate safety interruption, a tripped circuit, or an equipment control fault.