"Allergen introduction" products are mostly unnecessary. There's now a growing market of products specifically designed for allergen introduction — pre-portioned peanut powders, multi-allergen sachets, subscription boxes. These are fine if they make the process easier for you, but they're not necessary. Thinned peanut butter, scrambled egg, plain yogurt, and soft toast provide the same allergen exposure at a fraction of the cost.
Not all reactions are allergies. Babies frequently get redness around their mouth from acidic or irritating foods (tomatoes, citrus, strawberries). This is contact irritation, not an allergic reaction. True allergic reactions typically involve hives, swelling, vomiting, or breathing difficulty — not just redness where food touched the skin. If you're unsure, take a photo and call your pediatrician.