Hi, is that in your new profile? You’ll see that UUID used for the storage folder:
[profile.folder]\storage\default\moz-extension+++f26327f5-ae82-4c56-83b4-0cd32967a72f
Since the UUID in the URL is randomized on installation, the value in your old profile likely was different. The question is how best to identify the old storage folder and then try swapping its contents into the new one.
Probably you know how to get into a profile folder, but just in case, the about:profiles page has buttons to open the Root Directory of each one. (Ignore the Local Directory, nothing really valuable in there.)
In your old profile, the prefs.js file may contain the old UUID for Tab Session Manager. There is a preference named extensions.webextensions.uuids
which would have that information. It’s hard to read, but it’s general structure is:
{
"extension1id":"extension1uuid",
"extension2id":"extension2uuid",
...
"extension999id":"extension999uuid",
}
The public ID for Tab Session Manager is Tab-Session-Manager@sienori
so if you have prefs.js open in a text editor, you should be able to use its Find feature to track down its UUID.