I have a load balancer setup with 1 backend and 2 negs attached to it, I would like to add a custom header to know what neg/cloud run service is responding to the request but it seems that a custom header can only be added onto a backend (which contains both the negs)

Is it possible to create backend service in load balancer that connects to different revisions of same cloud run service based on path (with route like domain.com/v1 and domain.com/v2) ? What I found to create two different cloud run service and then configure but this is not what we want.

I have a springboot web application deployed on cloud run and it’s been running live on production for a few years.