NB: "West" is less a term of hemispheric fidelity (Australia and New Zealand are typically seen as "western" countries, despite being in the eastern hemisphere), than it is of cultural derivation (on which Brazil has additional claims, via Portugal), and far more prominently, geopolitical and industrial significance, focusing on the industrial, colonial, and financial powers of the world, largely the US, western Europe (a large portion of which is ... in the eastern hemisphere), AU and NZ as mentioned, and arguably Japan.
The term is often used to avoid (or sometimes conflate) what have become problematic and/or obsolte terms, including colonial empires, advanced vs. undeveloped countries, NATO vs. Soviet Bloc states, or the similarly cardinal-directed "Global North" vs. "Global South".
Pedantry on the point (my own included) isn't particularly illuminating or interesting.
Wikipedia's disambiguation page suggests the vagueness of the term: <https://en.wikipedia.org/wiki/West_(disambiguation)>.
Edit: /Brazil has claims/s/has/& additional/
"Rich countries" might be a better shorthand term.