No Russia Exemptions for Oil Production Act or the No REX Act This bill prohibits the Department of the Treasury from providing licenses or other authorization for U.S. persons to engage in activities relating to deepwater, Arctic offshore, or shale projects that may produce oil in Russia or within its maritime jurisdiction. Executive Order 13662 (relating to blocking property of additional persons contributing to the situation in Ukraine) authorized Treasury to prevent U.S. persons from engaging in business with Russia in various sectors, including the energy sector. Additionally, the bill nullifies any license or other authorization to engage in prohibited activities issued before the enactment of this bill.