Create ALB on Edge Optimized Public Api Gateway endpoint to integrate with Global Accelerator

I have an Edge Optimized Public API Gateway without custom domain deployed which is invoking Lambda(Custom VPC) on API request. There is a requirement where i can access API Gateway endpoint through custom DNS with Static IP as well. So plan to have a Global Accelerator which can provide an Endpoint and 2 static IPs as well to access the same but to deploy GA it needs an ALB/EC2/IP and as per document "Problem to put an ALB in front of API Gateway as the target group can be IP, EC2 instance, Lambda or another ALB, it doesn't have API Gateway has target group". So in this case how Accelerator can be setup so that i can have both DNS endpoint with Static IP as well.