Looking on the front I see what looks like should be a trace running from the bottom pin of K144 (Z key) to the bottom of K12A3, I note the break in the white so maybe you pulled the trace off attached to the pad?
Short yellow to
cyan either blue and it should type a Z, if it does solder
yellow the pad at the end of the green line to either of the blue dots and any connected keys (X C V M , and . I guess?) will come back to life. The Cyan dot is just there to distract you


Not sure where the tilde is but I guess it's an ISO board and it's between Z and left shift? If so it's not connected to Z, that would be far too sane for a professional PCB designer.
Ducky factory solder is not very DIY friendly so only one damaged pad on your first try is impressive
Edit: fixed stupid advice