For the French vinaigrette (Makes about 1 1/2 cups):
1 cup canola oil
1/4 cup white vinegar
1/4 cup cider vinegar
2 teaspoons Dijon mustard
1 large garlic clove, smashed
1/4 teaspoon mustard powder
1/4 teaspoon lemon-pepper spice mix (see Recipe Note)
Kosher salt and freshly ground black pepper
For the salad:
1 pound fingerling potatoes
8 ounces green beans or haricot verts
3 tablespoons unsalted butter, divided (melted or at room temperature)
3 4.5-ounce cans tuna packed in olive oil, drained
4 large hard-boiled eggs, sliced
2 medium ripe tomatoes, quartered
Niçoise olives (optional)
3 cups salad greens
For the dressing, combine the oil, vinegars, Dijon, and garlic in a blender or small food processor and blend until the dressing is thick and creamy (emulsified). Whisk in mustard powder, lemon-pepper seasoning, and a generous amount of salt and pepper. Taste and adjust vinegar, lemon-pepper seasoning, and salt to taste.
This dressing will make more than you need for one salad; the remaining vinaigrette can be refrigerated a few weeks.
For the salad, place potatoes in a large stockpot and cover with a few inches of water. Add a generous amount of salt and bring to a boil. Cook until potatoes are tender and can easily be pierced with knife, about 10 minutes. Remove the potatoes with a slotted spoon and set aside to cool.
Return the water to a boil and add the green beans. Cook until bright green and crisp-tender, 3 to 4 minutes. Remove beans with a slotted spoon (or drain through a colander) and set aside.
Slice the fingerling potatoes crosswise into thin discs, toss with 2 tablespoons of butter, and season with salt and pepper. In a separate bowl, toss the green beans with remaining tablespoon of butter and season with salt and pepper. In another bowl, stir a few tablespoons vinaigrette into the tuna. Taste and add more until desired flavor is reached. Season with salt and pepper.
Spread lettuce onto a serving platter. Arrange potatoes, green beans, eggs, tomatoes, tuna, and olives over lettuce. Serve with remaining dressing on the side.