My apologies. I don't know why I assumed Blau was a dog - maybe the previous replies to your post. I share my place with a cat - Athene. As with any cat, I'd never say I own her - it's more the case that she deigns to put up with me.
As for going for a walk with a cat, there's nothing weird in that. There's a guy in Newport, Isle of Wight, who takes his cat (a Siamese) around town on a leash and harness!
It's great to know you're back at your workbench.
All the best