Mold will be a problem for some.
It requires a few things to grow. A temp between 68-86, moisture, a food source(anything organic), darkness, & no air movement. By mitigating several of those conditions you can slow or stop the growth. Countless strains can grow outside of those conditions, further complicating risk mitigation.
Outdoors mother nature will find a balance for microbial growth. Indoors we must make that balance.
Mold is microscopic, it can float on air currents. The "growth" you see is mold waste(poop). The most common mold around here takes roughly 8-12 days to grow the size of a pin head. It can be at a dangerous level with nothing visible. Clean, dry, & humidity levels below 60% is the best mold prevention.
The brighter the color the more toxic it likely is when it comes to mold.
When mold dies it releases endotoxins, which are very bad for humans. Don't try to "kill it". Proper remediation is quite similar to asbestos abatement.
Pumping the water out is not a cure if it keeps coming back in. Once moisture penetrates concrete it will continue to do so as long as excessive moisture is present, and is more likely to do so again in the future. Like wicking action. The water will need pumped/hauled further away to eventually reduce the ground water level if that's the source.
If I faced those conditions I would pump the water into barrels & go dump them downstream. Clean, clean ,clean,& maintain "drying environment" status by reducing the humidity below 30%rh while adding air movement & leaving the area well lit.
Once the ground water recedes, expose the exterior foundation walls for waterproofing. The traditional spray on kind or the newfangled adhesive foam types are both providing good results here. Lot grading, exterior drain tile, & strategic flow dams can help.