@rooman
In case script is not compatible with your jQuery, yes.

after changing jquery it doesn't work to change category position

then you did it wrong or you used incompatible version.

I downloaded the version https://blog.jqueryui.com/2022/07/jquery-ui-1-13-2-released/
other than that everything works fine. After changing the settings to 1.x.x it works but PageSpeed ​​​​Insights informs about threats