The list is not updated when adding a new item via useState()

Hey, everybody

A problem (misunderstanding) has arisen with the useState hook.
I have two custom hooks:

1) useLocalStorage.ts

Used to interact with localstorage.

2) usePlaylist.ts

Used to add/remove playlists, as well as get the full playlist

I have a react component with which I add a new playlist using the usePlaylist hook

And then I have a react component that displays a list of playlists:

BUT AFTER ADDING A NEW PLAYLIST, THEIR LIST IS NOT UPDATED(only when the page is refreshed)

I have tried a lot of things, but maybe I missed something or misunderstood something, help please.