acclimating dogs/cats?

What has worked for you? I know there are lots of resources on how to do this but I’m also interested to know if the body language looks okay or notable here.

I have a 7yr old cat and a 6mo newly adopted puppy. I’ve been working on acclimating them for about a month and a half, mostly getting puppy still and having her ignore the cat. My cat’s been around dogs before and is curious but keeps her distance. Pup is doing great with sitting still, I’d just like to make it less interesting for her to pay attention to the cat. I don’t treat every time the cat passes but here ive asked her for down + stay, and then for “eyes” - attention - to give her a treat when she looks at me.

I’ve felt like she just wants to play with the cat but I’m not too sure on how to distinguish between that vs. hunting behavior.