In the Provencal tradition, we served the aioli on a large plate and surrounded it with a colorful array of dipping items, such as celery, fingerling potatoes, hard-boiled eggs, and blue-crab claws. Use whatever is fresh in your local market.
Mince garlic in the bowl of a food processor fitted with the metal blade. Add egg yolks, a pinch of salt, and mustard; process to combine. With machine running, slowly pour in about half the canola oil through the feed tube, a few drops at a time. Stop to make sure the sauce is thickening, and scrape sides of the bowl with a rubber spatula.
Add 4 teaspoons lemon juice. Resume processing; slowly pour in remaining canola oil and the olive oil. Season with salt and remaining lemon juice, and add the water; process 10 seconds more. If serving immediately, transfer to serving bowls.
Aioli can be stored in an airtight container in refrigerator up to 2 days.