Ingredients:
1 egg
1/2 teaspoon salt 1 tablespoon acid (I used lemon juice, but vinegar works too)
1+ chipotle in adobo sauce (I used 4)
3/4c olive oil

Directions: Put all ingredients in a wide mouth jar or beaker if you have one, ensuring your opening is large enough for your stick/immersion blender

Fully submerge a stick blender and begin blending starting at the bottom, after a short time start slowly moving the blender upward until everything is blended and the oil has emulsified into mayo.

This likely could be made vegan by replacing the egg with another emulsifier, I think lecithin will work. I am not familiar with using it, so use at your own risk.