I see that you are using jestor. According to their documentation, the Stable URLs do not change. There should not be any issue using the stable URLs with Adobe target for testing experiences. Refer to the Activity URL documentation: Activity URL
If you are attempting to set up one activity on multiple pages, this is possible using your stable URLs by adding additional pages within the activity. Check out the Multipage documentation: Multipage Activity
I hope this helps!
How do we test a group of pages that have stable URLs and exclude other pages from the test with stable URL?
The multipage activity should allow you to test groups of pages while excluding other pages.
You could also look at using 'template rules': Include the Same Experience on Similar Pages
This method will only work if your pages have a very similar structure or contain template elements that are structured the same on all pages.