싶지는

want to, would like to

→ 싶다
싶 want to + 지 Clause-ending marker for assertion or confirmation + 는 Topic marker
auxiliary Rare #31,422
want to, would like to In this form, 는 adds contrast or emphasis, often with a following negation: “don’t want to.”
KO: 오늘은 밖에 나가고 싶지는 않아요.
EN: I don’t particularly want to go out today.
Conjugation of 싶다

방해하고 싶지는 않지만

I don't mean to interrupt, but

— 이중 배상 (1944)

그러고 싶지는 않지?

You don't want to do that, do you?

— 저수지의 개들 (1992)