Currently waiting to hear back from surveyor as we're not sure how much of the roof described as 'a pitched roof covered with an asbestos sheet finish' and 'an asbestos cement sheeting roof' is included but it keeps picking at my mind so thought maybe some more knowledgeable people here may be able to help either ease my thoughts or know to ask when I talk with him or keep an eye out for for our upcoming second viewing (we haven't seen anything but the front since early December). This is the only thing in the survey that's thrown me off, it's one of a handful of 2s with none of the rest being surprises, the only 3s were the standard 'we can't tell' electric / gas / flue.
The 'outbuilding' is actually more a former outbuilding that has been connected to the house as seems pretty common for the area. I've attached part of the house plan diagram to help explain - the toilet and storage area which only open into the conservatory is the former outbuilding and definitely has the roofing, we're unsure about the part of the conservatory that's closest to it, while the farside by the door leading outside is a clear plastic sheeting (it's more a lean-to than a conservatory).
We know the previous owners lived there for decades (former council house with the last owners having bought it back in the early 80s), but the place has been empty for a while (just learned it's a probate sale) and with the wear and tear issues we know about, I know I'm probably overthinking this while stuck in waiting for the last of the local searches and enquiries.
We'll likely get it changed in a year or so anyways (my hope is to be able to convert the whole former outbuilding into an accessible shower room so with all the disruption of that we'd also change the roofing), and no one can really know until we get a professional in, but until then, how would others handle part of the house having an asbestos roof in a house that's mostly structurally sound, but needs some modest repairs and updating first (currently repairing some small damage to the lean-to wall on the far right side of the image that leaks in hard rain as we last saw it and some other small repairs, installing extractor fans in the kitchen and upstairs bathroom and updating the heating system from electric storage heaters are top of the to-dos lists after a deep clean).