OP postrer needs interior french drain before ANY FUTHER WORK

with a sump draining to a pump or ideally daylight

What do you think about just a sump pump? I suppose the water table
may be the problem, as I've never had any water in the basement, ever,
until now.

What would a french accomplish that a sump pump by itself wouldn't?
I'm being sincere, I really don't know.