I had dizziness too for about two weeks after, but it went away gradually. You got to work through it, this is what everyone that was sick told me. Take it easy it gets better!
I had COVID back in June. Still recovering from brain fog, fatigue and yes, mild depression. I can say mild because I suffer from depression as it is, so yes it's there. I don't want to do anything, getting out of bed is a chore and so on.
What helped and helps me is sitting in the sun every day for half an hour. For some reason it gives me strength to apply myself and do some work for a few hours afterwards.