Saving Campaign Progress Auto-translated

Does anyone who purchased the game on Steam know about saving campaigns? Specifically, I'm interested in whether if I delete the game from my computer, the campaigns I've completed will be saved to my account, or if this information is stored on the computer? I've completed 3 campaigns, but my computer struggles to run the game, so I decided to delete it for now and install it on a new computer later. I'd like to know if my completed campaigns will be saved to my account so I don't lose the bonuses for the final campaign.

P.S. Moderators, please correct the typo in the topic title.

Why isn't the progress being saved? Have you already tried all possible solutions?