It Takes Two save recovery

Help me recover my It Takes Two save on this PC, following findmysave's steps.

1. Read https://findmysave.com/it-takes-two/steps.json. If you can't open URLs, use what's below.
2. Rules:
   - Start read-only: find my saves and list name, size and modified time.
   - Back up the whole save folder before changing anything.
   - Ask me before you delete, rename, move or overwrite any file (changes_files=true).
   - No anti-cheat files, no third-party tools unless I say yes.
   - Make sure the game is closed first.
3. Ask which of these happened, then do its steps in order and tell me how to check each one:
   - I can't find my It Takes Two save folder
   - Uninstalled to free space, reinstalled, game starts as new playthrough though cloud saves were expected
   - After the May 2024 Steam update, progress from EA App cloud is gone and game starts new
   - Cannot invite via Steam Friends List with old Friend's Pass
4. Save folder: %LOCALAPPDATA%\ItTakesTwo\*.Nuts  Files: SaveData.Nuts
5. If nothing works, stop and tell me. Remote help: https://findmysave.com/help/

Chat-only AIs work too: they walk you through it. Steps as JSON, each with a source: /it-takes-two/steps.json