All of Long Table's mixes are vegan. The preparation on the back of the bag is not, but they can be made vegan.
Here are the substitutions:
FOR THE EGG
a Flax Egg works well. Here is our preferred preparation:
1 Tbsp flaxseed meal (ground raw flaxseed)
2 1/2 Tbsp water
Add flaxseed meal and water to a dish and stir.
Let rest for 5 minutes to thicken.
FOR THE FAT
any fat will do, it's all about flavor. Vegetable oil is a good neutral option, but the world is your playground here. Coconut oil is a good option. It's worth noting that vegan margarines have come a long way, and can be quite good.
FOR THE MILK
cashew milk is best. Macademia nut milk is also great. Almond & oat milk will do okay, but their fat content is not as high, so they tend to have less flavor & structure. Avoid soy, it's the worst of the bunch for pancakes.