Soak the beans in plenty of water in the refrigerator for 12h. Drain, rinse, and boil in salted water with the bay leaf until very tender (about 45–60 minutes). Remove the bay leaf and drain the beans, reserving some of the cooking liquid.
Blend the beans in a food processor, gradually adding the reserved liquid until smooth and creamy. Season to taste.
Make the crunchy salsa:
Finely chop all the vegetables and herbs.
Transfer to a bowl, season with salt and pepper, and mix with the lime juice and olive oil. Set aside.
Prepare the tortillas:
Cut the tortillas into triangles and toss with olive oil and Cajun seasoning. Arrange on a baking tray and bake at 180°C (356°F) for 5–7 minutes, or until golden and crisp.
Serve the creamy white bean mash topped with the crunchy salsa and crispy tortillas on the side.