A resecure is the same as a capture. As a defender you have to beat the attackers to the cap.
Since adjacent territory determines starting tickets, the defenders have a huge advantage for territories secured by several other friendly territories. With a large ticket advantage you might only need 1-2 control points out of 7 to still beat the attackers to the 1000-ticket mark (or whatever the number is).
But the closer you get to front-line territories that might only have 50% or less friendly bordering territory the capture and the resecure are just semantics.
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