Note that milk is included in the "Produced in a facility that uses peanuts, wheat, and milk products", but that does not comply with allergen labeling regulations.
From brand owners perspective, ensuring the co-packer facility has well developed and implemented Allergen Preventive Controls is critical. In this case, control at the point of formulation / ingredient addition is needed.
https://www.fda.gov/safety/recalls-market-withdrawals-safety-alerts/ono-llc-issues-allergy-alert-undeclared-milk-vegan-blueberry-muffin-lot-number-11923
ONO LLC Issues Allergy Alert on Undeclared Milk in Vegan Blueberry Muffin with Lot Number 11923
Summary
Company Announcement Date: July 18, 2023
FDA Publish Date: July 19, 2023
Product Type: Food & Beverages
Reason for Announcement: Undeclared milk allergen
Company Name: ONO LLC
Brand Name: ONO
Product Description: Vegan Blueberry Muffin Protein Overnight Oats
https://www.fda.gov/safety/recalls-market-withdrawals-safety-alerts/ono-llc-issues-allergy-alert-undeclared-milk-vegan-blueberry-muffin-lot-number-11923
ONO LLC Issues Allergy Alert on Undeclared Milk in Vegan Blueberry Muffin with Lot Number 11923
Summary
Company Announcement Date: July 18, 2023
FDA Publish Date: July 19, 2023
Product Type: Food & Beverages
Reason for Announcement: Undeclared milk allergen
Company Name: ONO LLC
Brand Name: ONO
Product Description: Vegan Blueberry Muffin Protein Overnight Oats