Dont worry, it wont steal your password. How the “prove you have the game” works is:
Dark gaming sends you to the steam website (meaning dg cant see the info entered there since its the official steam website), and then steam will send dark gaming a list of the games you have and dg will check if terraria is in that list (you need your steam library games to be public though, because steam wont send your library info if you want it to be private).
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