We notice two weeds in your vegetable beds, ground ivy https://extension.umd.edu/hgic/topics/ground-ivy and dead nettle https://extension.umd.edu/hgic/topics/deadnettle
In a vegetable garden consider using a barrier (e.g., raised bed, edging material) to contain its spread into your planting areas and keep after it by hand pulling/digging, hoeing, etc. That is the safest method of control.
Take advantage of a mild day in the winter to remove the weeds. Cover the area with shredded leaves to cover the bare soil. See our website for tips for weed control in the vegetable garden https://extension.umd.edu/hgic/topics/caring-your-garden