Trying to find a rental house

With a yard for my pittie, and just came across an ad that said “no dog of any perceived vicious breed (or any mix thereof)” so I’m assuming that’s a no go. Frustrating because it’s hard enough finding what we need for something I can afford - and I thought breed exclusions weren’t a thing here? (Portland OR) just venting, would appreciate any tips. He’s an ESA, so I know we have more protections, I just don’t want to mess with a landlord with that attitude