Final Fantasy VIII Remastered Save Game Location
Windows
Final Fantasy VIII Remastered save games can be found on Windows here:
C:\Users\[user_name]\Documents\My Games\FINAL FANTASY VIII Remastered\Steam\[user_id]\game_data\user\saves\
Linux
Final Fantasy VIII Remastered save games can be found on Linux (Proton) here:
~/.steam/steam/userdata/[user_id]/1026680