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If this wins I will take the double spade finesse.
Does that mean that you're crossing back to
♥K to play a second spade? Compared to Bluecalm and Wank's suggestion of
♠K from hand, that never gains, and loses against AQJ-xxxx.
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so you win in dummy play a spade to the 9. win the return. concede KS to the ace. then play the 10 of spades out of hand and try to read where the remaining Jack or Queen is, i.e. now singleton with east or covered and ruffing-finessable with west.
There are 12 ways for the spades to be AHxx-Hxx and 4 ways for them to be AHHx-xxx. LHO doesn't need both honours for his double, and RHO would probably have passed 2
♥ whether he had a spade honour or not. (Maybe Qxx xxx xx QJ10xx is worth 3
♣, but we don't have the entries to find out the club layout.)
It seems clear to play for Hxx on the right.