In today's modern society, the advancement of technology and the widespread availability of the internet have enabled various activities that were once limited by physical boundaries to be easily accessible from anywhere around the globe. This remarkable progress has not only transformed the way we live and interact with the world, but it has also significantly impacted the way we entertain ourselves. A prime example of an activity that has skyrocketed in popularity during this digital era is the virtual rendition of the classic game known as billiards, commonly referred to as online pool. Online pool, also dubbed as virtual or internet pool, is an innovative adaptation of the traditional billiards game. It was originally played on a physical table using balls and cues, but it has now seamlessly transitioned into the virtual realm, allowing enthusiasts to indulge in their favorite game at any time and any place as long as they have an internet connection. Among the plethora of platfo。