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Damn, I also struggled and couldn't defeat the demons until I removed the reinforcement from several posts, or rather, replaced it. You can't actually remove it, and then I defeated him without any problems. Attacking posts is a minor issue; it's not even worth worrying about, even if they capture them, you can quickly take them back.
Apparently, after defending a post, a full turn must pass before the enemy captures the next post. I defended a post, but they captured another post in the same turn. I had nothing left to defend with. If the mission hadn't failed, I would have run back to the castle, hoping that there would be no more attacks on the posts. It was the 4th week.