Yea, but the statement is specifically talking about stand names.

what you wrote didn’t say that the first gym you encounter is Brock

It’s a bit complex of a construction for the correction.

My idea was that it is a composite of 2 statements which makes it factually incorrect.

the player tackles the Gyms in the order they encounter them

starts with beating Brock

These statements together, implies that the first gym encountered is Brock.

But point taken, not sure why I didn’t just say that the first gym encountered was Brock’s. It feels a bit round-about now that I think about it. I’ve improve the OP accordingly, thanks for the feedback.