I think what @abal1000x is suggesting, is that you could simply bridge the pads to remake the circuit and it should power on. I can't specifically recommend this for long-term, but it could be done to prove that all you need is a replacement capacitor that you could order from digikey, mouser, possibly even Amazon or AliExpressPossibly I'm wrong, but I think it's 100% sure that it doesn't turn on since that capacitor is missing.
I have tried to turn it on several times and it does not respond.
A few moments before when it was, if it started and without problems.