VPC peering and Network Firewall

i am confuse AWS network firewall and peering section. As per AWS documents, it said **AWS Network Firewall cannot be deployed to inspect traffic between VPCs that are peered together; **

i did vpc peering VPC 1 (10.1.1.0/16)and VPC2 ( 10.2.1.0/16). VPC 1 have one private subnet ( 10.1.2.0/24) behind the firewall VPC 2 have one private subnet ( 10.2.2.0/24) behind the firewall I have the one private route table destination 10.2.2.0/24 next hop is firewall ID or interface in VPC 2. I add one route to go 10.2.2.0/24 next hop is peer ID in VPC one private route. I have the one private route table destination 10.1.2.0/24 next hop is firewall ID or interface in VPC 1. I add one route to go 10.1.2.0/24 next hop is peer ID in VPC 2.

let me know this traffic will pass firewall ? If AWS firewall is didn't support to inspect network traffic if we are using peering ? can we use third party firewall to inspect traffic?