Request is missing required authentication credential. Expected OAuth 2 access token, login cookie or other valid authentication credential

Not possible. You need to use the OAuth login as indicated here in spreadsheets.values.batchUpdate:

You can see on the authorization part that it uses OAuth scopes, therefore it follows that it uses OAuth not API KEY:

Authorization

Requires one of the following OAuth scopes:

https://www.googleapis.com/auth/drive
https://www.googleapis.com/auth/drive.file
https://www.googleapis.com/auth/spreadsheets

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