Automation Developer is a Named User license. It must be assigned to a real user (email). admin_local cannot consume it. Create a real user, assign the license, remove old machine key, and sign in to Studio using that user.
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You need a real UiPath user account (email) to consume an Automation Developer license—autogen\admin_local can’t use it.
The “Machine key is linked to another machine” error means the key was already used elsewhere. Fix it by generating a new machine key in Orchestrator and connect Studio/Assistant with that new key.
After this, Studio should retrieve the license properly.