Weeds grew through mulch

All of this used to just be fresh mulch only about a year ago, and suddenly is overgrown with moss and weeds as the spring sets in.

What do I do? Do I just spray weed/grass killer and add mulch? Or will it just keep growing through it?

All of this used to just be fresh mulch only about a year ago, and suddenly is overgrown with moss and weeds as the spring sets in.

What do I do? Do I just spray weed/grass killer and add mulch? Or will it just keep growing through it?