How to set up an experiment with complex pop-up logic?

Question

Google Analytics

Good afternoon. Please suggest how to conduct the following experiment using GA:
Users are divided into 2 equal groups (A default, B experimental).
A - see the site without changes.
B - they see a pop-up calling for registration, appearing according to the following logic (s):
- the user is not authorized
- this is the second (or more) page for the visit session (when the pop-up is closed, it will appear on the next page)
- exception pages on which pop -ap is not shown (urls of login page, registration page, feedback page)
Please tell me where all the display logic is implemented - in the GA (which is unlikely) or on the site? If on the site, then, therefore, the division of users into 2 groups should be created on the side of the site? Perhaps you know how to conduct this experiment, if you simplify the display logic.

Answer 1

I understand it. We will create the logic for issuing a popup according to internal conditions. But the question is - is GA capable of dividing traffic into groups A and B with the help of built-in experiments and collecting statistics on these segments on its side? On the example of the described experiment.
For example, when setting up an experiment in GA, you need to specify the split url. but how to specify it if the experiment does not depend on the url at all.