I'm wondering why Hugo wants you to install homebrew. It's a Go program. Shouldn't downloading a binary be all you need? Or maybe building it from source? The Go SDK doesn't require Homebrew.
...they refer you to the GH's releases page, where you can find binaries ready to use (I don't use Mac, but I see 64 bit and ARM64).
You don't need a Go dev env to use Hugo. I use it in Linux and I don't have a Go compiler installed.
Basically it uses the Go dependency manager to help you assemble your website. Here's my documentation on Hugo modules for my work-in-progress Hugo theme: https://git.sr.ht/~skyfaller/maxethics-hugo#hugo-modules