Commelina communis is the Asian one that gets all of the credit, but if there's a visible 3rd petal like that, I think it's one of the natives, if ones goes by pics on USDA database. C. erecta and C. diffusa are natives and all look very similar.
All of the plants discussed here are in the Commelina family, a very confusing, misunderstood, and little researched bunch'o'plants.
I went by the garden store earlier and sure enough, there are both kinds growing prolifically on the ground around the plant tables. The pic of the blooming one didn't come out well enough to share, with my phone, the sticking-straight-up bloom tips aren't visible against the other leaves in the background, but here's a clump of regular C. repens, showing no signs of making any blooms. It has a lot better color than my potted patch shown above. Sure enough I forgot to look at the back of the leaves. Will go by again Monday. The blooming one is completely prostrate unless/until it decides to bloom. Then it goes straight up. The non-blooming, regular C. repens is always more upright.
Does it look like 2 different plants to y'all out there looking at these pics?
In this pic, there's a chunk of the non-bloomer in the middle.