Haven’t tried this myself yet… but vinegar can clean the house and about a million other things, so I’m not surprised it also kills weeds.
We used vinegar at OSBG to kill the grass in a new lot, before building beds and compost piles over it. You can use regular vinegar, boil down the vinegar to make it stronger, or you can buy agricultural-grade vinegar, which comes in versions 3-6x stronger (15-30% acetic acid) than distilled white household vinegar(5%). Great for gravel and pathways, but it will kill your veggies if you use it on a bed. The best way to get rid of those weeds is preventative measures, and by hand.