An Azure service that provides a platform-managed, scalable, and highly available application delivery controller as a service.
Just to conclude my initial question, based on all the input I received here and my own further investigation.
Thanks DarylNZ also for your input, it was extremely helpful.
We decided now to go with a VM (as a replacement for the Application Gateway) created through Terraform and configured via Ansible. For us the pricing on the Application Gateway V2 is just not feasible. The old Application Gateway Basic tier for around 30$ would have been fine but V2 pricing is not working out.
For normal use case scenarios the V2 does not offer any additional features which we need compared to the old V1, so the increase in pricing up to around 130$ (from the old 30$) is not worth it.
I know there are benefits in using the App Gateway compared to a VM but these also do not matter for our use case scenario. With the smallest VM now being at about 9$ per month it can do plenty for us until we need to even think about scaling it up.
I strongly recommend Microsoft to update the Azure Calculator as well as their documentation on the pricing of the App Gateway V2. To me the information about how the compute and capacity units are handled (having a certain minimum always assigned) would have been helpful in making this decision quicker and saving some time implementing module in Terraform.
Tom