How to pick the stamp or scale unit where your App Service will run

You can’t.  The best you can do is pick the region / location. Read the bottom for a way to try and influence it.

A scale unit, stamp or tenant is something which I have referred to here. “How to disable TLS 1.0 on an Azure App Service Web App”

The scale unit is identified by the number highlighted in red in Figure 1 and is found by doing an NSLOOKUP on your Azure App Service name.

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Figure 1, what is my Azure App Service stamp

The Address is the VIP to the stamp that you use for an A Record, I discuss that in more detail here.  “How to get a static IP address for your Windows App Service Web App” do not confuse that with the outgoing IPs which I discuss here.  “How to find your outgoing Azure App Service IP address”

When you create a new App Service Plan (ASP) you choose which Resource Group to place it into.  All ASPs in a given Resource Group will be deployed to the same scale unit.  So, my logic is, if I want to put the ASP onto a different stamp, even though I/YOU CANNOT select it, there is a probability that it is placed onto a different scale unit.  You can at least give it a shot if you need that for some reason.  But you cannot choose it specifically unless you create an App Service Environment (ASE).