Browser Authenticate; then Scrape API Requests

HI, know this is a really basic question, but I'm in a bit of a hurry.

I'm trying to scrape some data from an API that otherwise would block me and forward me to a robots page. What I'm aiming to do is open a landing page in the browser, perform some basic actions to soak up the required cookies etc., and then perform the scraping programmatically.

It seems there are a few different ways to do this, and as I'm not much of a web-developer and don;t normally use JS, it's taking a bit of time to navigate all the documentation and find the simplest way to achieve this.

Could someone point me towards a minimal example of the best way to approach what I'm trying to do please?

From what I can see in the network inspector, it seems I need to be sending cookies as well as a bearer token and user-agent headers to the APIs I need to call. If any way of doing tihs also makes it easy for me to see the request that went out on the wire, then that would be a big plus too - it seems that e.g. context.requests.get() doesn't have a straightforward way for me to inspect the full request before it is sent(?), and only lets me interact with the repsonse. If I can compare the request to what I see from the website itself in the network panel of my browser, then that will be relaly helpful.

Thanks!