Describe the feature request
Implement the gateway-inference-extension in Istio

Update:
Targeting release 1.27.

Describe alternatives you've considered

Affected product area (please put an X in all that apply)

[X] Ambient
[ ] Docs
[ ] Dual Stack
[ ] Installation
[X] Networking
[ ] Performance and Scalability
[ ] Extensions and Telemetry
[ ] Security
[ ] Test and Release
[ ] User Experience
[ ] Developer Infrastructure

Additional context
Support for this project is being currently developed in an experimental branch - https://github.com/istio/istio/tree/experimental-gwapi-inference-extension