Epic Games CEO Tim Sweeney enters the Ronald V. Dellums building in Oakland, Calif., to attend his company's federal court case against Apple on Monday, May 3, 2021. Epic, maker of the video game Fortnite, charges that Apple has transformed its App Store into an illegal monopoly. (AP Photo/Noah Berger) by Michael Liedtke, Associated Press — May 10, 2021 . SAN RAMON, Calif. — If Epic Games hopes to dismantle the fortress surrounding Apple’s iPhone and its app store, the video game maker probably will need to roll out some heavier artillery heading into the second week of a trial threatening Apple’s $2 trillion empire.