Thank you very much for the report and I am very sorry about the issue!
Based on the screenshot, am I right to assume that the License Manager tool crashed? Is there any Graphisoft Bug reporter appeared?
Also, is there any antivirus program active in the machine? It might have blocked the program from running or delete the program totally. This would explain why reinstall helps, but the problem appears after a few runs.
The License Manager tool didn't crash, and there was no bug report generated.
This computer currently has no antivirus program installed, since your guess was similar to mine.
I agree this sounds related, but is there any other issue I can check regarding macOS firewall definitions that can result in the same outcome?
In case you control network communication by firewall/proxy etc., please make sure that License Manager Tool can communicate with the above hosts. Although it might not explain why reinstall helps to run LMT for a short while, we might be able to see some events from the macOS's Firewall if that's the case.