It's most common to use a monitor or TV as a display for a gaming console like the Xbox, but sometimes, for whatever reason, ...
HDMI is a popular way to stream video and audio via cable, but it's not universal. That's when these adapters come useful.
If you want a 'passable' gaming system that can handle virtually any current game at reasonable settings (not the highest), you can stick with the current laptop and run your main display via HDMI 2.1 ...