くるよ

will come

→ 来る
phrase Very common #1,675
will come Often follows a verb in the て-form. It can mean going somewhere to do something and then returning, or a change that is progressing toward the present. よ adds emphasis or assurance and is common in casual speech.
JA: ちょっとコンビニに行ってくるよ。
EN: I'm going to the convenience store and I'll be back.

手を洗ってくるよ

I'm going to wash my hands.

— ライフ・イズ・ビューティフル (1997)

急がないと雨が降ってくるよ

You’d better hurry, or it’ll start raining.

ドアに鍵かけてくるよ

I'll go lock the door.

自分の気持ちを話すだけでも気分は晴れてくるよ

Even just talking about how you feel can make you feel better.

ちょっと散歩して頭をスッキリさせてくるよ

I'm going to take a short walk and clear my head.

あとで探してくるよ

I’ll go look for it later.

— 鶴は翔んでゆく (1957)

散歩して頭をすっきりさせてくるよ

I'm going to take a walk to clear my head.

議会へ行ってくるよ

I'm heading to parliament.

— ウィキッド ふたりの魔女 (2024)

シャワー浴びてくるよ

I'm going to take a shower.

縮小コピーを撮ってくるよ

I'll go make a reduced-size copy.

拡大コピーを撮ってくるよ

I'll go make an enlarged copy and bring it back.

トムに訊いてくるよ

I'll go ask Tom.

車を借りてくるよ

I'll go get a car.