I recommend it, this would be a great opportunity to learn. It shouldn't be too bad, you have a pretty basic document so you won't need to use any complicated features. I would use it just to line things up so you can scan your list easier.
I have an Obsidian Kanban Board with the games that I'm currently playing, games that I dropped, games that I've to play, that I completed and games that I'm not planning to stop soon
I'm using LibreOffice but word would work just as well. I thought about Excel/the LibreOffice equivalent but I'm just not familiar with it enough to be useful with it.
And this is generally every game/franchise I own/want to own so it goes as far back as I can make it go back. I also plan to add a LOT of games via emulation that I used to play when I was younger.
I have various lists here and there, like one for everything I have on Steam, one for Epic, one for GOG, another for games I'm playing through GamePass.
Don't even get me started with the physical binders I have dedicated to achievement hunting, maps, and notes. So, I get it.