Is there any possibility to live tracking all responses in a web browser and getting the data as from the developer tools? (but automatically, not manually)

Example:

• show network in developer tools

• load site jsonapi.org/examples

• as you can see, there is a JSON file (manifest.json)

• I can get the JSON (copy it or declare a variable in the console), but there is my question: is it possible to get such a file automatically by an extension?

If so, how can I achieve it? What libraries to use?