Since Crossover is already installed on Ubuntu 22.04 KDE (Kubuntu), download the game from
12 Labours of Hercules III Windows English
Then right-click the downloaded file and open with Crossover. Accept the default install and begin. Game Manager will be installed once you accept. Then game manager will open and begin downloading the game itself. Once it is complete, click Play and it runs. Did not notice the option to enter player name, but noted that the default name given was "Crossover."
The desktop shortcut works in CO 22.0 and you can also find the game in Start "Play 12 Labours of Hercules III".
Since these Big Fish Games require little hardware performance, older computers running CO should be fine. I used a modern computer with Intel I-9, 32 gb RAM, and Nvidia RX2030 using the Nouveau open source driver.