I'm not a doctor but I learned heart transplant techniques from a doctor.
I learned the art of selling from the company I used to work for.
I married a technically brilliant boxer.
You've seen 技 as a vocab word meaning "technique." This is sort of using that meaning. So, a technique of art is still art, but it's also your craft, your technique.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.