If you have managed to manually 'Save As' to another location then you should find that the file will be in the 'Select a Recent project' list if you just start the Archicad program (Assuming you have not disabled that opening dialogue box) or you should find them in FILE > OPEN recent files list - highlight the file name and you will see the path in the status bar at the bottom of the screen.
Or you could do a search of you local and network drives through your operating system.
If Archicad thinks you have saved the file successfully on shut down (even if it is to another location unknowingly), then the Autosave files will be deleted.
I have no idea how Time Machine works, but as the Autosave files are in a folder of the user profile (on a Windows machine anyway) I am not sure that they would have been backed up.
If they were backed up though, then restoring them to their original location and then re-starting Archicad may prompt the Autosave process.
I can't say for sure as I have never tried to do this.
The autosave files are not files you can just open - they are a series of files that need to be re-compiled by Archicad when starting the program.
Barry.
One of the forum moderators.
Versions 6.5 to 27
i7-10700 @ 2.9Ghz, 32GB ram, GeForce RTX 2060 (6GB), Windows 10
Lenovo Thinkpad - i7-1270P 2.20 GHz, 32GB RAM, Nvidia T550, Windows 11