How to record the history of requests, responses and content while interacting with the site in the browser?

Question

Web development

Hello!
I need to make a copy of the site to write a program and test this program on this copy, because access to the original site is not always available and is limited in time.
It is not necessary that the solution itself build a copy of the site (but it would not be bad), enough structured data about requests, responses and content between them, from which I can assemble the site myself.
Requests can be both through ajax and regular page navigations, browser history can be navigated, for example, when href="javascript:history.back()" is hung on a link, there can be multiple redirects.
Are there any programs, extensions or other tools?
How are such tasks solved?

Answer 1

network tab in chrome. wireshark