Remember when then Gov. Rick Scott (R-Hell) adopted Reagan the rescue pup, then Reagan just disappeared after the election and a new dog appeared?
Pets are not props.
If you were worried that Babydog wouldn't get to go to Washington, Congress is HUGELY pet friendly throughout the office buildings. (Older article, no substantive rules changes)
https://rollcall.com/2017/05/01/meet-the-dogs-of-the-senate/