Contested Fortress reads Cancel one damage to your capital each turn. Does this mean during each players turn or during my turn? It seems pretty tough to get past if a player gets a couple out early.

Cheers

Each player turn. (and more because answer is too short)

It can be tough if they get a couple out early... especially if they are also playing Keystone Forge, three of these in any combination can really put the dampers on a lot of decks... of course you have to get three of them out without loosing a zone in the process, and still put up enough damage soakers to not get over-run.

Just hit the zone with 20+ dmg going through to the zone, cancelling 3 (for 3x CF) suddenly isn't all that much .