If you make Sourcetree full screen, then open a repository also full screen, put that repository as a split screen (merge the two full screen views), and then all subsequent repositories you open will be tabbed.
This is macOS stuff; not specific to Sourcetree, but it works really well!
Thanks for the response. I couldn't get the above instructions to work - I'm a novice MacOs user; but I found the following from another community question/answer.
defaults write -app SourceTree AppleWindowTabbingMode -string "always"
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