I would like my Pods in Kubernetes to connect to other process outside the cluster but within the same VPC (on VM or BGP propagated network outside). As I'm running the cluster on GCP, outgoing traffic from Kubernetes cluster can be NAT'ed with Cloud NAT for external traffic, but the traffic inside the same VPC does not get NAT'ed.

I can simply connect with the private IP, but there are some source IP filtering in place for some of the target processes. They are not maintained by myself and need to run on VM or other network, I'm trying to see if there is any way to IP masquerade traffic that's leaving the Kubernetes cluster even within the same VPC. I thought of possibly getting a static IP somehow assigned to Pod / Statefulset, but that seems to be difficult (and does not seem right to bend Kubernetes networking even if it was somehow possible).

Is there anything I could do to handle the traffic requirements from Kubernetes? Or should I be looking to make a NAT separately outside the Kubernetes cluster, and route traffic through it?