Using PowerShell To Find ID of Template From Your Organization

Hi all, 

I am trying to automate the process of applying a site template within our organization to a series of new sites we are going to be creating for a SharePoint Intranet. 

When I manually open the site in a browser, click settings, and click Apply a Site Template, I can clearly see our available organization templates in the "From your organization" tab, seen below: 

We have one called "CofC Team Site" and one called "CofC Communication Site". These templates were implemented and added to our environment by a vendor. 

I am simply trying to use the https://docs.microsoft.com/en-us/powershell/module/sharepoint-pnp/invoke-pnpsitetemplate?view=sharepoint-ps command from the PnP.Powershell module to invoke (apply) one of these templates (either of them; if I can get one working I'll know how to do the other) to a new site collection. 

What I've Tried So Far

I have tried manually applying the CofC Team Site template to a new Team site, and then using the https://docs.microsoft.com/en-us/powershell/module/sharepoint-pnp/get-pnpwebtemplates?view=sharepoint-ps command to save the template of that new site to an XML file, and then using Invoke-PnPSiteTemplate -Path <that XML file> -Connection <connection to another site to which the template has not been applied yet>. However, that gives this error: 

https://github.com/pnp/pnpframework/issues/164

which no one has solved. 

So, another available argument to the Invoke-PnPSiteTemplate is the template ID. Does anyone know how to get the IDs of the templates in the "From your organization" tab (in the screenshot above)?