Trump and Vance will serve as keynote speakers during the event.
The Supreme Court is poised to resolve the dispute before the November election.
Iran says it struck an unmanned U.S. vessel trying to enter the Strait of Hormuz, the latest salvo in a new flare-up of fighting between the two countries.
The U.S. military said it struck three Iranian oil tankers after Navy warships were targeted with missiles, warning that it would "if necessary, destroy Iran's limited and exposed oil fleet."
The White House website on Thursday unveiled Arcade, a collection of five low-resolution video games that promote different aspects of President Donald Trump's agenda.