To determine the number of differently named artifact tokens you control, count each artifact token you control once, but only if its English name isn’t exactly the same as another artifact token you’ve already counted this way.

A token’s name is its subtypes plus the word “Token” unless it’s copying another object or it was given a specific name by the effect that created it. For example, the tokens created by Gimbal’s last ability are named “Gremlin Token.” These tokens have the same name as the 2/2 red Gremlin creature tokens created by Release the Gremlins.