のが好きなの

like doing

→ の
phrase Common #6,173
like doing Used after a verb in the plain form to say that someone likes doing something. の nominalizes the verb, and な is an explanatory sentence ending often associated with casual or feminine speech.
JA: 私は音楽を聴くのが好きなの。
EN: I like listening to music.

私の両親私を批判するのが好きなの

My parents also like to criticize me.

— セッション (2014)

なんで野球をするのが好きなの

Why do you like playing baseball?

なんでトム帽子をかぶるのが好きなの

Why does Tom like wearing hats?

いずれにせよこういうところにいるのが好きなの

Either way, I like being somewhere like this.

— ラ・ラ・ランド (2016)

うちの猫窓から眺めるのが好きなの

My cat likes looking out the window.

なんでトムここで働くのが好きなの

Why does Tom like working here?

家でご飯を作るのが好きなの

I love cooking at home.