Overlapping IP issue between VPC and VPN

Above architecture diagram has 3 VPCs & 2 site-to-site VPN connections VPC-A, VPC-B, VPC-C (contains shared services)

VPN-A is connected to VPC-A only using transit gateway.

VPN-B is connected to VPC-B only using transit gateway.

There is also two-way connectivity between VPC-A, VPC-C and also between VPC-B, VPC-C.

Problem is IP overlap between VPN Gateway A and VPC-C. Both are using CIDR 10.4.0.0/16.

So, how can VPC A diffentiate between VPN Gateway A and VPC-C and have two-way connectivity with both VPN Gateway A and VPC-C?

What should I do resolve IP overlap issue without changing CIDR?

Most of the articles I see are talking about using NAT or private link to solve IP overlapping, but those solutions only work if it's only one way connectivity.