Comment by alganet
Highering is an existing, valid word, and it fits the phrase.
https://en.wiktionary.org/wiki/highering
I agree that it is an unusual choice, but that doesn't mean you can assume it was a mispelling.
Moreover, the meaning went through. Ultimately, the word itself does not matter, and none of your explanations are relevant.
That word doesn’t make any sense in this context. Stop digging this hole further FFS.