Personally I don't use Lutris nor do I use Steam, but I use Bottles to play my pirated games and I have already experienced with several games that when running a pirated game it redirects me to a screen to buy the game, and I am almost sure that is because you are specifically using Proton.
To run Windows games on Linux, the Steam Deck uses Proton which is so to speak its own "gaming version of Wine" to run games, and Wine is a layer that translates instructions from Windows programs into instructions that Linux can understand. In Lutris I have no idea how to add prefixes (Wine versions), but I usually work around it by using a different prefix to Proton, or sometimes it fixes it by using Proton, it's very variable.
I recommend you to install Bottles via Flathub in Discover and create a "Bottle" (i.e. a prefix) of category "Gaming" and try to run the JBPP executable from the "Run executable" button, if that does not work or as such there is no output press Settings and check if DXVK and VKD3D are correctly configured, as they usually do not have any configuration although it is enough to select the first option.
If that doesn't work either try to change the runner to Soda or Caffeine, as they are the ones that in my case usually work the most, although they should already be installed by default, if they are not simply go to the home screen and press the 3 dots on the top right and go to runners and there you can download them.
It is also important to mention that Bottles does not have access to expansion cards or external HDD so in case the game is installed outside your OS you will need to install Flatseal and give it read/write permission (read only is enough but just in case I usually give it write permission too). Usually it is a very simple process, at the moment I don't have Flatseal installed but it is not hard.
Actually I suppose that if Lutris didn't work it was because it didn't have any prefix configured (which has happened to me with Lutris) or because you actually installed Lutris as flatpak and it didn't have access to the directory where the game is.