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You can use dehumidifiers at a fraction of the power cost of full air heating, given that you only need to keep the surface pores of the e.g. wallpaper below a humidity that supports mold growth. Similarly, the bathroom could gain a second insulated door-ish curtain for an airlock effect fairly easily.
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Heat recovery ventilators are one possible solution. You can hook them up to home assistant humidity sensors and open a vent for example.

https://youtu.be/wJB3dyHDa-8

https://youtu.be/zSxyUFLwFbc

https://www.openerv.ca/

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I got a CO2 monitor, and noticed that it often went over 1000 ppm CO2. So I started cracking the windows slightly, which resolved it. There are downsides to sealing the house too tight.
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An electric dehumidifier in winter keeps moisture in check and you get the energy of evaporation back as heat.
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We solved our humid air in the bathroom with an active extraction fan that starts when it registers humidity and light (I think) in the room.
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