While I cant comment on mitigating TS from mold exposure, I am a building scientist and you would be surprised at how many homes have mold issues; even the new ones. A lot of times it may be marginal levels of mold that might not affect most people, but I suspect will be a trigger for those who are sensitive. Oversized HVAC systems promote condensation on the ductwork in the summer by short cycling, combined with poor duct layout, and it is SUPER common for HVAC contractors to improperly oversize a system. For example, when I had my AC replaced, 3 out of 4 quotes included systems that were WAY oversized, because none of them actually ran the proper calculations, and maybe some wanted to sell more expensive systems.
As the OP has found, a whole house dehumidifier can really help control condensation by controlling interior RH independent from the AC system. A whole house air scrubber can help too but you do have to be mindful of the effects of ingesting ionized particles (not really studied well). Another consideration would be in-room HEPA filter systems.
Condensation can form in some really sneaky areas aside from marginal HVAC systems as well such as cold water plumbing pipes.
anyhow, just my 2 cents from the building's perspective
oh and if you havent already, seriously consider having your tap water tested and give some consideration to whats in it. There are some really good mineralized RO filter systems out there.