Update Lightning packaging to follow the PEP 517/518/621/660 standards

[AmintorDusko]

Context: This PR updates the Lightning Python packaging to the most recent standard. This allows us to get rid of pip~=22.0 from requirements*.txt, comply with up-to-date build practices, and fix the inability to build Lightning in place on newer Python environments.

Description of the Change:

Benefits:

Possible Drawbacks:

Related GitHub Issues:

[sc-65227]