This game runs on Ren'Py 7.5.3, so you should be able to download the 7.5.3 SDK and launch the game using the SDK. If that works, then you could either stick to that approach, or build a 32-bit Linux distribution of the game for yourself so that you can launch it normally.
This is basically how I play Ren'Py games that doesn't have Linux build, but I am using 64-bit so I can't help with 32-bit, except the steps should be similar. In summary:
1. Find out Ren'Py version of the game.
2. Download the SDK for that version.
3. Launch or build the game yourself.
Hope that helps. If you need further assistance, you probably should be asking in special threads like
this for example, or directly ask the game developer via the appropriate support channels, to avoid getting off-topic on this game thread. The moderator or uploader aren't expected to provide technical support related to the game
.