The log says something about url authority check failed at an https:// url.?
e.g.
Code:
ERROR 2023-07-27 19:44:23,933 [JavaFX Application Thread] gg.minion.controller.MinionController:openBrowser(289): Catching java.net.URISyntaxException: Illegal character in authority at index 7: http://"https://www.esoui.com/downloads/info2118-LibMainMenu-2.0.html"
It somehow always adds http:// in the beginning, but this is wrong and it should simply use the https:// link provided?
I'm not sure why this is happening but somehow or something at your PC adds that http:// then :-(
Did you read the Minion troubleshooting guide already and followed its steps?
Especially providing rights in antivirus/admin mode to try if anything blocks Minion execution, use 16bit version.
If this all does not help try to install Sun Java Runtime Environment (Jre) fresh, or let it fix/repair if it's already installed.