Cache large docker image on instance and build EKS optimed AMI from it

Hello, We want to build an EKS AMI with already present container image on it so it doesn't take long to run new pods for pulling.

Is there a procedure for such use cases ?

Tried:

• Creating AMI from EKS Node that is already running Pod from the large image - Produced AMI was reported to not be an EKS Optimized one and cannot be used in managed node group
• Use ImageBuilder to produce new one with cached image - Problem was the AMI volume is too small for the image and ImageBuilder does not provide mechanism to run on larger volume

Thank you !