Please confirm if below scenario is feasible
Please confirm if below scenario is feasible( check if we can define LB vip in the backend pool under another VIP).
VIP 1 and VIP 2 both will have VIP 3 as a pool member.
If VIP 3 is hosted in a different BIG-IP it should work.
However, if it's in the same box, it's unlikely to work:
"BIG-IP does not respond to its own Address Resolution Protocol (ARP) requests for locally-hosted virtual server addresses, and thus is unable to establish a network connection to a locally-hosted virtual server. As a result, if you add a locally-hosted virtual server to a BIG-IP load balancing pool, no traffic will ever be sent to that pool member, as it is not possible for the system to load balance traffic to that pool member."
K10379: A local virtual server IP address cannot be used as a pool member
https://support.f5.com/csp/article/K10379