With a human at its disposal, it could probably count the number of R's in strawberry!
In all seriousness though, adding capabilities should not normally reduce the effectiveness of a model (within reason: don't pollute the context window with millions of useless tools).
How do you prevent degenerate strategies? I could trivially give a model a SHA256 hash and ask it to provide the source input.
In class you'd probably want a rule saying at least one LLM should be able to figure out the answer, but in a head-to-head I'm not sure how to solve it.
For me personally, I no longer hear the difference between AI generated music and new pop-songs. Not sure what that says about me or the music industry.
There is also this Matt Parker video about MTG, in which he explores a specific three-card combination that produces an ungodly amount of creature tokens.