Shia LaBeouf -- Doggin' It with New Wife Mia Goth (PHOTOS)

Newly hitched couple, Shia LaBeouf and Mia Goth, took their bulldog out for some family fun this weekend.

Shia and Mia were spotted at a dog park in L.A. with their boy, Brando ... just days after their quickie Vegas marriage. Shia's wedding band looks to be a perfect fit.

That's a heavy load. Brando, not marriage.