This is a reminder that AI needs to be fact checked. I did a Google AI search for the same question. Here is the response I got:
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And the AI answered in 3 different ways. 1) nobody has done it; 2) Hank Beatty is the first Big Ten player to do it since 2003; 3) 5 players have done it including Gayle Sayers in 1963 and Terry Metcalf in 1975.
The Footballguys Forum answered an entirely different question, which TDs rushing, receiving, KR and PR. So that's a bad answer.
The University of Illinois link is accurately described, and I was able to confirm on Sports Reference that Steve Breaston did in fact do this in 2003. The link also says Beatty is the first Illini to do it since
at least 1995. This is weird phrasing, and Sports Reference confirms no Illini did this in 1995 - in fact there were no KR or PR touchdowns that season.
So my guess is that Beatty is the only Illini to do this, but I can't confirm it, and neither can AI at this point.
Edit: Also Gale Sayers was in the NFL by 1965, and in that season had a rushing, receiving, and KR TD in the same game which is probably what your AI is referring to. AI is not great yet, and Google AI is one of the worse options. According to Sports Reference, in college Sayers had one career passing TD, in 1964, and did not record a receiving TD that season, so likely Sayers did not accomplish this feat.