The app will launch and work, but updates will still require the App Store.
Some third-party websites offer downloads of Apple Configurator 2. However, be aware that: apple configurator 2 download without app store
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Let me know your specific blocker (e.g., "App Store greyed out by parental controls" or "No Apple ID allowed") and I can suggest the cleanest workaround for your situation. The app will launch and work, but updates