I do this too, but it bothers me a little bit to think that my mind needs to be doing something all the time in order to feel relaxed. Video games are fun but the ones I play are not really that restful; ditto web browsing. I've been exploring breathing exercises, mindfulness, journaling, just listening to music by itself more but it's tough not to just get bored with it. Maybe that means I need to do it more.
FWIW I've had a meditation practice for over a decade and do use things like box breathing and journaling too. But sometimes my brain just needs stimulation and this has never gone away. I've learned that the thing I need to avoid is engaging with my monkey mind in spiraling thoughts, so video games are ideal as they require enough attention to prevent me getting distracted but I can also zone out and just play.