Why my MacBook Air M2 is not elegible for Apple Care?

AppleCare must be purchased within 60 days of the original sale. See the following from AppleCare Products - Mac - Apple

How to buy

1. Purchase AppleCare+ with your new Mac.
2. Or buy it within 60 days of your Mac purchase:

• • On your device (go to  > System Settings > General > About)
  • Online (requires you to verify your serial number)
  • At an Apple Store (inspection of Mac and proof of purchase are required)
  • By calling 800-275-2273

Years ago, they used to allow the purchase of Apple Care within one year.

It still required inspection at an Apple Store.