Should I stop worrying and work on my current postdoc till I get something else?
Don't worry about gaps that are easy to explain, especially by something that will have affected everyone to some extend, such as Covid in 2020/2021 (and hopefully not any longer...).
Keep working on your postdoc, and keep applying to positions that are in your interest.
Besides that, it is totally normal to have a few months between two positions every now and then. I'd love to have such a gap by the way, to take a long holiday without having to explain anything.