the white silicone sticks so good to caps and pcb, it is normally not possible to pull the cap out, even if correctly desoldered with a proper solder sucker station,
i cut with a blade CAREFULLY while pulling the cap, so i only cut the silicone
and NOT into the pcb or traces !!
Another trick, desolder one pin, be sure it is correctly isolated from the pad it was supposed to be soldered to,
now measure its value, series resistance, leakage, if all looks normal, within what you normally expect for this
type and size cap, then dont waste your time or money replacing it. mark it as ok, solder it , and continue.
test the caps near power diodes, power regulators, power resistors, bridge rectifiers,
hot places, high ripple currents, tend to short capacitors life time,
so better seek here first, if all turn out ok here, most likely no need to waste more time else where