You can use your own Moz API key by adding it to the appropriate place in the Moz connector. See the instructions below for where it goes in each tool.
Supermetrics for Google Sheets:
Add the following string to the Options->Advanced settings section of the sidebar, where X=Access ID and Y=Secret key:
Supermetrics for Data Studio:
Place the following string into the Your Moz API key (optional) section of the connector settings, (where X=Access ID and Y=Secret key):