How to look for best Scorer if I have two criteria

Hello everyone,

I'm stuck and I cant solve the following problem.
I have to determine the user with the highest achieved score for Criteria A. However, I might have a couple of users who scored the same result for Criteria A. In order to determine the highest scorer I am then looking Criteria B. Out of those who scored the highest result under Criteria A, who actually achieved the best result under Criteria B.

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As highlighted in the attached file, the formula that I am looking for should give me the result "User 7".
Both User 7, User 10 and User 12 achieved the same highest score under Criteria A. Out of the shortlisted users, User 7 scored the highest under Criteria B though. I have to determine this user.

I think the formula that I am looking for is a combination of Index(), Match() and Sumproduct() and Max()... but I might be wrong.
Your help is highly appreciated, thank you.
best regards
Chris