I think it's asparagus fern. They drop a lot of seeds when they flower.

asparagus fern

I don't know if asparagus fern is as exuberant where you are, but if so, you may want to consider if you want a whole bunch of this plant or not. If you're vigilant about removing the seeds (red balls,) that would make a huge difference whether or not it spreads around.

looks like sweet woodruff or if sticky like when you touch it we have a native plant like that considered a weed. It climbs or trails depending on what surrounds it. Easy to pull out & control with mulch.

If the native plant it isn't full like sweet woodruff, but more scraggly & not sweet smelling foliage.