persistence using game cloud saves(Steam, Rockstar, etc.)

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I've done some RE and malware analysis enough to understand what's going on at a general level at least, but wouldn't say I'm far from a basic level. However I got curious about the possibility of the following scenario:

Assuming a pc got infected with malware on which it got reformatted. I'm wondering about the likelihood of malware infecting and spreading through save files for games like GTA 5, Skyrim, etc. Once games are installed again on the clean …

analysis basic cloud etc game general malware malware analysis persistence rockstar scenario steam understand