Samurai
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Generally, a misclick isn't grounds for an autosave; I think everyone understands that, so the right to grant an autosave remains with the opponent. I would grant an autosave without a problem if it's an obvious misclick (i.e., it's clear that a reasonable person wouldn't intentionally move that way). Also, the issue of an autosave should be resolved immediately at the moment of the misclick, i.e., either we play and continue without complaints, or we immediately autosave. But the option of playing it out and then figuring it out later is nonsense.
I misclicked with the Warlock. There were many abilities from creatures in the battle (phantom dragons aged, a jinn cast antimagic, which was very useful, etc.), plus the Warlock also weakened his own thunderbirds with fan spells.
Considering this, and the fact that two games ago I myself misclicked and didn't ask for anything, I refused to replay.
As a result, I learned a lot of new things about myself :D