Chrome allows for the use of multiple user profiles. If you don’t have multiple user profiles set up in Chrome, then your settings and installed extensions are associated with the Default profile.
To locate the folder of the Chrome profile for this window, do the following:
1. Click and drag the text below into the Chrome title bar above to open a new tab containing Chrome version information:
2. Copy the value of the Profile Path displayed on that page.
On Windows, it looks something like this:
3. Navigate to the profile path copied in the previous step.
On Windows, paste the path directly into the address bar of File Explorer and hit Enter.
On a Mac, select Go in the Finder menu, then click Go to Folder. Paste the path into the textbox and click Go.
On Ubuntu, select Go in the Files app menu, then click Enter Location. Paste the path into the textbox and hit Enter.
I was not able to find anything in the Windows "something like this" path (above), with the word "profile" in it. I could copy the Default folder as a backup, but this seems like overkill for only one Chrome extension -- due to the Default Folder being hundreds of MBs in size.
Your active profile path is displayed under "Profile Path" on chrome://version/. It's likely the Default profile.
Once you've identified the profile path, you can find where Session Buddy data is stored underneath that path per How to Locate Session Buddy Data on Your Computer