Vitamin B12 deficiency is the most likely diagnosis for this patient based on her history, examination findings, and laboratory results. The underlying problem is likely inadequate dietary intake of vitamin B12 as a result of her vegan diet. The two most common causes of megaloblastic anemia are vitamin B12 deficiency and folate deficiency. However, her history of fatigue, numbness, diarrhea, weight loss, and beefy red tongue point more specifically to vitamin B12 deficiency, as folate deficiency would be less likely given her dietary habits.