How do deal with shrubby hypericum?

I have some shrubby "St Johns Wort" in my yard that's being very annoying and keeps trying to take over. It spreads with runners and it's doing its best to encroach on all the other plants and my pathways. I think it might be hypericum calycinum (Aaron's Beard or creeping St John's Wort -- not medicinal as far as I know). How do I get rid of this guy without poisoning the ground for other plants? Will it help to keep sheet mulching on top of it with cardboard and friends? I think I want to get rid of it entirely because it's so aggressive.

I've had really good luck smothering stuff this year.

We had lots of rain and thing popped up where nothing ever grew.  Our patio is white pea grave, so we had croton and sticky willy everywhere.

I wanted something better than cardboard.  Stuff that would not blow away.  I found old metal something off a computer.  It works the best of what I found.

The wood chips on top of the cardboard will work.  Cut the runners off so that nothing can find sunlight.