Disney says
Served on an Allergy-friendly Bun with Dannon® Danimals® Smoothie, a Cuties® Mandarin and choice of Small Lowfat Milk or Small DASANI® Water. Meets Disney Nutrition Guidelines for Complete Meals without substitutions.
Friendliest.app says
The burger can be served on an allergy-friendly bun that is free of gluten/wheat, dairy/milk, fish, shellfish, peanuts, tree nuts and soy.

This meal contains eggs (bun) and is not listed as soy-friendly. It can be made milk/dairy-friendly by omitting the Dannon Danimals smoothie and selecting water instead of milk. 

If ordered with a standard bun, this meal is egg-friendly, but contains other allergens.