Tbh, the last time I looked at the bike market was in 2012 when I bought my Dawes Vantage. I haven't a clue what's good or not regarding cx/gravel/touring bikes these days but generally, tourers are designed to be more laid back yet the frames can be stiff as ice so they don't flex all over the shop when loaded. Their bigger tyres make up for that.
CX bikes afaik have more 'racy' geometries but don't usually have mounts for mudguards. Gravel bikes I think are in between.
Personally, I'd go for a tourer as that's what I'm used to and so far mine haven't limited me too much in where I can ride.
The Vantage, despite it's sharp handling was bloody good fun to blast around fire trails on it's Schwalbe Landcruisers
I swore because a car coming up the road forced me to slow down.