Red meat is a luxury food and is priced accordingly

Its really not. If you look at the beef industry profit margins in the last 6 years, they got supercharged during and after the pandemic because they realized that due to the restrictions placed on imports they could charge whatever they wanted for beef.

https://www.ers.usda.gov/topics/animal-products/cattle-beef/statistics-information

Beef consumption rates haven’t changed much at all in the last 20 years. Yet profit margins have more that doubled.

Chicken price increases at least have the excuse of the bird flu epidemic wiping out millions of birds in a really short period of time.