Short answer
The mulberry itself is likely fine, but the sauce is the concern. Sauces often contain ingredients like onions, garlic, sugar, or xylitol which are toxic to dogs. Ripe mulberries in small amounts are safe, but you don't know what else is in that glaze. Watch your dog for vomiting, diarrhea, or lethargy over the next day. If the sauce was just a simple reduction of berries, risk is low, but if any worrying signs appear, or if the dish contained other risky ingredients, call your own vet for guidance.
Mulberry — Food safety facts
Safe to share · Dogs · full breakdown on the linked food page
Ripe berries are safe in small numbers. Unripe fruit and the leaves are not.
The full verdict, portion guidance and serving notes are collected on the Mulberry food facts page.