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I have a license for HOMAM3 Complete Edition, and I have only installed the HoMM3 HD 4.202 RC5 patch (HD+ option enabled).
If I launch the game and immediately select a "campaign" playthrough, the "campaign" will not have the option to replay a quick battle manually.
If I exit the "campaign" to the main menu and select any "scenario," the "scenario" will have a "replay" option.
If I exit the "scenario" and relaunch the "campaign," the "campaign" will have a "replay" option.
If I exit the game and then relaunch the "campaign," the "campaign" will again not have a "replay" option.
The problem with the "replay" option only occurs in the "campaign," while the "replay" button is always present in the "scenario."