I would stick with TFP basics:
1 - Physically remove as much junk as possible that may have entered the water. Hopefully the cover prevented it, but you never know.
2 - Stock-up on plenty of regular bleach/chlorine for the
SLAM Process. That includes test kit refills for the FAS-DPD.
3 - In some scenarios, we might recommend a partial water exchange, but with a FG pool and potential elevated water level in your area, I would not think of that as a good option. Also with that cart filter, backwashing to waste does not seem to be an option since I don't see any auxiliary valve to push water to waste.
4 - Test the pump and clean the filter cartridge. If everything is serviceable, crank it up and see how it circulates.
5 -If everything is good, test/adjust the pH to about 7.2 and star the
SLAM Process.
The rest is just a matter of consistency and time. You can change that swamp back to clear. Take photos to capture your progress.