According to the legend, what is the relationship between geese and Rome?

The history is that, during the Gauls invasion of northern Italy, after the Romans lost the battle of the Allia in 390 BC, the defeated Roman soldiers fled to Veii, an ancient Etruscan city 16 km (9.9 mi) northwest of Rome. Having nothing to stop them in their way, the Gauls marched straight to Rome.

The panicked and defenseless citizens of Rome retreated to the Capitoline Hill and, aided by the steep and rocky walls of the hill, pushed back the Gauls attacks. After several unsuccessful attacks, the Gauls decided to use a ruse and, under the cover of the night, to climb the walls into the Capitoline. They were not heard by the guards or their dogs, but miraculously were heard by the sacred geese of Juno from the Capitoline temple, which woke up the Roman soldiers with their honks and cackling. Romans were able to stop and push back the Gauls attack. So, the geese truly saved the great Rome!