Do i need a serial number just to buy one airpod to replace the one I lost?

Replacement instructions for Airpods are provided at the bottom of this support article "How to find your lost AirPods, AirPods Pro, or AirPods Max": --> https://support.apple.com/HT207581 Neither the warranty nor AppleCare+ helps with the cost of Airpods that are lost. The cost for damaged Airpods may be lessened by any 'AppleCare+ For Headphones' coverage you may have. It does seem to require a serial number.

'AirPods Service and Repair' lists replacement fees. Click here --> https://support.apple.com/airpods/repair/service

1. If you can't find your AirPod or Charging Case, or if something is damaged, get the serial number. Click on this link to discover how to find the serial number. --> https://support.apple.com/HT209371

2. Contact Apple Support for a replacement. Click here --> https://getsupport.apple.com/?caller=kbase&PGF=PGF32003&category_id=SC0298

(You may have to go to the support article in my first link for the special Airpod replacement service link if that one doesn't work.)

3. Learn how to set up your replacement.

Set up your replacement AirPods or charging case - "When you get your replacement, follow these steps to use your AirPods again." --> https://support.apple.com/HT207827

I need to get a replacement for my R AirPod How do I go about getting it