If you are an Amazon Prime member you will get the preferred treatment to get the Xbox Series X. This is stated on the main page of the gaming console on Amazon.
Given the short supply issues. It may be worth checking to see if it is available. As it is still extremely challenging to find at this time. Or selling out quickly. It does not appear to be changing anytime soon.
Here is the Xbox Series X if you want to check. Maybe save this link just so that you can see if Amazon is keeping them in stock.
See if Xbox Series X is available here: https://amzn.to/3GuO03e