Maybe a
IRLML6402PBF ?
I don't think it's critical, open RS, Farnell, Digikey, go to discretes, tranzistors, mosfets, use parametric search.
Anything that can handle 20V and 500mA will likely work there!
Though the circuit is probably using much less current than that, better safe than sorry.
Find one that has low threshold voltage, similar to that one, around 1V or less, as it's probably powered with 3.3V.
Common fets won't switch very well at such levels.