Google Search Console 'Change of Address' Just 301s on source domain?

[WebGuyNZ]

Hi all. New here, so please be gentle.

I've developed a new site, where my client also wanted to rebrand from .co.nz to .nz

On the source (co.nz) domain, I've setup a load of 301 redirects to the relevant new page on the new domain (the URL structure is changing as well).
E.G. On the old domain: https://www.mysite.co.nz/myonlinestore/t-shirt.html
In the HTACCESS on the old/source domain, I've setup 301's (using RewriteRule).
So that when https://www.mysite.co.nz/**myonlinestore/**t-shirt.html is accessed, it does a 301 to;
https://mysite.nz/shop/clothes/t-shirt

All these 301's are working fine. I've checked in dev tools and a 301 is being returned.

My question is, is having the 301's just on the source domain only enough, in regards to starting a 'Change of Address' in Google's Search Console? Their wording indicates it's enough but I'm concerned, maybe I also need redirects on the target domain as well?

I.E. Does the Search Console Change of Address process work this way?
It looks at the source domain URL (that's already in Google's index), sees the 301 then updates the index (and hopefully pass the link juice) to the new URL.

Also, I've setup both source and target Search Console properties as Domain Properties. Does that mean I no longer need to specify that the source and target properties are HTTP or HTTPS? I couldn't see that option when I created the properties.

Thanks!