And so, the 1 week Jade update!
Had I been updating every day, the updates probably would've looked something like this:
OMG YAY DOGGIE
Doggie stop crying you have so much stuff in your pen and I have to sleep, you can't come onto the bed until you and the cat are used to each other.
YAY WALKS
Doggie stop snapping at the cat.
Dog, stop chasing the cat.
Bad dog.
OH HAVE I MADE A MISTAKE.
Fuck this, I'm no quitter.
YAY DOGGIE, DAMMIT, YAY.

Jade's integration into the home has been mostly successful, she's completely attached to me, listens well on walks and after one or two snappish encounters in the elevator, now sits nicely in the elevator and is mostly good with all the strangers in it.
I got really worried for a bit about Kenobi, who are first was super curious about just what the fuck Jade was and then when Jade started snapping and growling at her, is now just freaked out by the dog. I've been spraying Jade with water and scolding her whenever she does it, and now, like a good fast learner, Jade just looks sulky when the cat walks by. Kenobi had been sick for a bit first, which I thought was due to the stress, but then I found out Kenobi kept eating Jade's food and that was the reason she was throwing up, a problem now solved. She's also nervous about being on the floor whenever Jade's around, and spends most of her time walking around the edges of the couches and furniture.
The couches have also been claimed, green by Kenobi and red by Jade. They're both sitting on them now, Jade gnawing on her bone and Kenobi staring at her.
For a few nights, I was worried I might've made a mistake, that maybe I should've gotten a puppy especially with the bonding with Kenobi and training. But other than slight seperation anxiety, which I'm putting in the effort to eventually cure her of, Jade's a great dog. Stubborn, but great. For the most part, her personality reminds me of my folk's dog, Teddy: stubborn, but obedient. And she's cute as a button and every single person we've met has cooed over her - including two very high girls last night who thought she was a Boxer puppy. We also met the other Boston who lives in the building, who must be mixed with something else because he's easily 30-40 pounds, and I ended up talking dogs with the couple for about twenty minutes.
I'm a dog owner now, and I'm in deep. Hopefully in a few months Jade and Kenobi will be good enough with each other that they can sleep in the same bed, and I'm comfortable leaving them alone together.

I'm sleepy - I think I'm going to go make a cuppa tea.