In the long term stripping is the best quality option but this takes the most time and effort. Painting over wallpaper is possible if the paper is well adhered. The biggest problem is bubbling either now when the painting starts or in the future. It's a risk but might be worth while taking.
Two articles that cover this topic;
<a href="https://www.house-painting-info.com/remove-wallpaper-or-paint-over.html">Should I Remove Wallpaper or Paint Over It?</a>
<a href="https://www.house-painting-info.com/painting-over-wallpaper.html">Painting Over Wallpaper</a>