The Friday Question

What the heck is this weed?

The dry spots in the garden got Israeli names: the West Bank, the Gaza Strip. The Weed completely took over a patch about 5 feet x 4 feet on the West Bank that I had left totally weed-free only two weeks (okay, maybe three weeks) ago. I had to pull out most of the accidental Love-in-a-Mist patch to get rid of The Weed and I see it's spreading underneath the azaleas too.

At least it's very easy to pull out, has the tiniest little roots, doesn't sting or poke or smell bad. What can I do to avoid another rampage? Would I have to go nuclear (I wouldn't)? Can I eat it? I've got two five-gallon buckets so far. Can I sell it? Make a craft item with it?