Start with the unit you are assessing. Record the AI system or general purpose AI model, its intended purpose, the user group, the deployment context, and whether the output is intended to be used in the Union. Article 2 is wider than simple place of establishment. A provider or deployer outside the EU can still be in scope when the system output is intended for use in the Union.
Also document the carve outs. The Act excludes AI used only for military, defence, or national security purposes, systems and models developed only for scientific research and development before market placement or service use, and certain free and open source releases. That open source carve out does not protect systems that fall under Article 5, Article 50, or high risk categories.