You do not use the term black and Mexican in a job interview. It is offensive.
I can see how ‘Mexican’ might be considered offensive in stead of ‘Mexican-American/Chicano (is that still used?)/Latino, but certainly ‘black’ hasn’t yet gone the way of ‘negro’. If had made no mention of either, it could have been a black (opps) mark against him as well. When I (son of WWII vet) was getting into teaching I took special classes to meet the needs of black and Chicano students. This was in the very early 70s and it was thought that they needed to be approached somewhat differently in order for them to prosper and succeed in school.
At work the correct terms would be Hispanic or African - American. One must be careful esp in an interview. The interviewer would be wary of potential future lawsuits. That’s right. I’ve interviewed hundreds of people. The interviewer was gracious to provide a reason. They would not heard back from me.