My aquarium is in a room which used to have a moisture problem. I solved it by improving ventilation and installing a cooker hood (I also cook there). Windows never get direct sunlight so I got aquarium to make the room brighter from aquarium
lights, and because I was frustrated that I couldn't grow any plants. The aquarium is covered with two transparent plexiglass plates, not very tight as you can see. Air quality and humidity have actually improved since then, despite quite a lot of water in the aquarium (it's more or less 120 litres - I don't fill it to top because I also want to grow surfaced plants, like water spinach and mint). I guess plants are doing their thing (they're growing in soil). There is a tiny filter designed for much smaller aquariums, which I turn on only occasionally (I want to keep it low-tech and natural as much as possible).
The tank is not heated, if it was there would be more evaporation I guess. I keep guppies and maybe I will add something larger (I want to add some fish that will eat excess guppy fry, snails, ostracods and overgrowing plants) but these critters don't need heating. I thought that guppies will, because they're tropical, but they actually prefer the room temperature (I tested it in the beginning).
So I guess you need to troubleshoot any mold problems if you have them already, and after that the aquarium can only make things better.