Yeah, it’s fine. The reason soap used to be avoided is because the lye in older soaps would strip the seasoning.
Wash it in soap and water, dry thoroughly, and if you need another light layer of seasoning once in a while (I do it almost every time I cook and clean them anyway) hit it with a thin layer of grape seed or avocado oil, and throw it in the oven to bake that layer of seasoning on.
It’s not necessarily any cheaper unless you get it on sale, but I’ve been a big fan of my August smart lock. I don’t have anything bad to say about it other than the built in auto-unlock could be a bit quicker (but then it’d likely drain phone batteries more, constantly polling for location.) and letting Home Assistant handle the automation solved that.