My favorite is this,
Others prefer the ropes. I carry both, but will only use the rope as the second resort. I have used plugged tires for the duration of their tread a couple of times. I'm always leery initially and I monitor the tire until I am satisfied the repair is OK. It does help that I have TPMS on my bike.
OTOH, your tire is nearly worn out or at least no less than 2/3 whipped. I think you should just replace it.
Boy, I sure wish that I could get 6K out of a rear tire.