Must I install Cubase if I wish to use the included Padshop2?

I have a Mac Pro 2013 with a Cubase Pro 12 license in Steinberg Activation Manager. This is the first computer. Padshop 2 (part of my C12 license) running well.
So far, so good.

Now I got a second computer (Macbook M2, 2022). On that machine, I want to use Padshop2 in Logic Pro, choosing to not install Cubase 12. Can I use Padshop2 in another instance of S.A.M. on the new computer, without installing Cubase? Will Padshop2 be detected as belonging to my Cubase license, though Cubase itself is not installed?