Eliminate Red Eye in photos of dogs

I would appreciate tips on removing ‘red eye’ from my dog’s photos. The Photos Red Eye removal tool only works on humans and not on dogs with the bright white, green or golden pupils reflected. And everyone who takes photos of their dogs have experienced the ‘devil dog’ eyes at some point. I don’t need professional level correction, just for my own home snapshots of my dog.

So far my best success has been to Open the photo. Zoom in. Edit > Retouch. Size the circle tool to just larger than the bright, white pupil of the eye. Select the paintbrush and select a black part of the nose for the black color I need. Then click in the devil eye multiple times being careful to leave a little bit of the white.

Do you have an alternative method? Or other software that does the trick? I can muddle through with my method, but hope there is something better.

Using Photos 3.0 with MacOS 10.13.4 (not using iCloud). Thank you.