Season with salt and pepper, then crush the cloves and drizzle olive oil.
Work the aioli into a smooth paste.
Modern aioli
Separate the yolk into the bowl of a hand blender. Add the mustard and lemon juice. Peel the garlic cloves into the mixture as well and give it a couple of swirls to break down the texture.
Then a little olive oil, turn the blender on full power. Slowly add the remaining oil. It usually works without curdling. Season to taste at the end.
The mayonnaise-based garlic sauce won't keep long, but it will just get better for a couple of days in the fridge.