Weed #1: maybe Ranunculus / Buttercup = = = = = = =
I have some of that. I let it do its thing on one area and smother it when it spreads where I don't want it.
"Someone told me what this one was, but I forget the name. Wild, Spiny Lettuce?" I've never known its name but I get it here too. I can pull it early in the season when the ground is soggy. Later in the season, I smother it.
And that's what I'd do with any horsetail I didn't want where it is too.