Additionally - it looks like some of the moisture could be coming from around the footer area. (Hard to tell sources versus destinations for the water.) One of my places in Carnegie has a high water table due to a spring on the hill behind it. I needed an interior french drain to keep the underground flow from coming up around the slab whenever it rained.

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Also, hard to tell, but it looks like there is a gap between the water and the wall. So the water may not be coming through the wall. I don't see any moisture on that raised footer. Assuming the hot water tank or other plumbing isn't leaking - I would definitely look at a "bath tub effect" as the cause. (No clue the technical term, this is just what I always called it.)