I don't seem to be able to download it on the app using the second link and when I go to MEGA I don't see any version labeled "Itch App Download"
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I had it mislabeled. The second download link you were clicking was the "Itch App Download", I just forgot to change it's display name. I am unsure why it is not working through the app, but if you are able to download it through Mega I would just do that. Just grab the version with your operating system in it's name, and get the latest patch to add onto it.
I downloaded it from MEGA was just confused by the itch download. The only option on the app for me to choose is the folder, it wouldn't let me switch over to the direct download instead. I got past the blacksmith and first two encounters with Beatrice and fought the dummy for a little bit. I selected surrender to leave the fight and now the game randomly pops up "Defeat 1.ogg unable to play".
I'll take a look at that issue, but for the meantime if you follow this filepath "CiC 0.42.6 Windows\www\audio\me" and copy one of the files, then change it's name to "Defeat1.ogg" it should fix the issue. You could also try temporarily moving the game to your desktop. It could be that it won't play the sound effect because the filepath to it is too long. Thanks for letting me know about the issue.