Oh, so that's how it is, okay, I hope this problem will be resolved quickly by BAS, even if there is a change in format, BAS can provide lessons so that the Fingerprint and Proxy settings can run well.
Just noticed that the "LastVersion" file in the profile folder, as the name suggests, gets updated when the profile is opened with (another version of) BAS e.g. from 114.0.5735.91 to 117.0.5938.63. Therefore it's not suitable for our need to determine the original version of which a profile was created.
But at least can be said what was the latest BAS version that worked with it ;)