Even if you don’t group meat and vegetables in naive ways you still reach the same conclusion:

“Regardless of whether you compare the footprint of foods in terms of their weight (e.g. one kilogram of cheese versus one kilogram of peas); protein content ; or calories, the overall conclusion is the same: plant-based foods tend to have a lower carbon footprint than meat and dairy. In many cases a much smaller footprint.”

• https://ourworldindata.org/less-meat-or-sustainable-meat