If a workplace:

• Does not routinely interact with the public/people outside the company (ex: delivery people)
• Has all members give equally respected, explicit consent (so new hires has the negotiations start over) for which dogs and how long and off limits areas and dog owners know they are responsible for routine cleaning and general animal care
• Is not my workplace

Then sure, have fun.

Otherwise no. For the sake of those with allergies, those with a fear of dogs (some), those who can’t stand the noise/smell/distraction (me), it’s cruel to impose your pet upon others in places where that is not the default; if you work at a pound that’s different. If you need accommodations, by all means, seek those out, but those should aim to negatively affect other people as little as possible.