Hello! I have a plantbed in the front of my house that seems to be very susceptible to two kinds of weeds that I cannot identify (and therefore cannot control). The plantbed is in a spot that is partly-full shade ans has mediocre drainage. I mulched a little bit but I definitely need to add more.

Could someone please identify these weeds and try to help me control them in my plantbed? The weed on the right seems to only grow right next to my Mugho pine.