The phrase "to visit one's booth" means to go and see or attend a particular stall, stand or display that is set up at an event. This could refer to attending a trade show, fair, exhibition or any other gathering where different businesses, organizations or individuals have their own designated space to promote their products, services or ideas. In this context, "to visit one's booth" means going to the specific location of that particular participant and engaging with them in some way such as discussing their offerings, obtaining information, making a purchase or simply taking in what they have on display.