In a Web API I’m building, controllers are routed using this convention:

[Route("api/public/v{version:apiVersion}/[controller]")]
[ApiController]
public class TestController:ControllerBase

or

[Route("api/v{version:apiVersion}/[controller]")]
[ApiController]
public class InternalController:ControllerBase

This generates swagger ui endpoint URLS like
/api/public/v1.0/Test

So far, so good. I’d like though to simplify the display of those in Swagger UI, so I thought maybe if I use swagger Servers property, I could simplify the endpoints to have a format like this:
/v1.0/Test

What i’ve tried:

Attempt #1:

app.UseSwagger(c=>
{
    c.PreSerializeFilters.Add((swaggerDoc, httpReq) =>
    {
        swaggerDoc.Servers = new List<OpenApiServer>
        { 
            new OpenApiServer {
                Url = "/api/public"
            },
            new OpenApiServer {
                Url = "/api"
            }
        };
    });
});

This adds a server dropdown in the swagger UI, but endpoint is unaffected.
Requests are routed to /api/public/api/public/v1.0/Test

Attempt #2:

I also modified the controller to use this as route:

[Route("v{version:apiVersion}/[controller]")]

This makes the Swagger UI display as I’d like:

But I get 404 errors when I try it out, even though the “path” looks ok to me: /api/public/v1.0/Test

What am I missing?