Mow, pull or weed whack it in late August to early September while the seeds are forming but before they mature. You DO NOT want to let this season’s seeds to get into the soil bank. Spot control with triclopyr and fluroxypyr (PastureGard) next season, and pull, whack or mow as needed each year to control larger areas.
You can also spot control using a 3-4% glyphosate foliar treatment, ensuring coverage of leafs and 10” or more of the stem.
Burning can set back, but not control SL. It takes a three year rotation of cutting and spraying to control SL, and you will not eliminate it once it’s in the seed bank.
It takes a combination of approaches, and just one will not get this out of your pollinator plot. The good news is that this does work—I am having to use this process on 10 acres of pollinators and am making headway.