HttpClient is not being registered

c#
builder.Services
    .AddHttpClient<AdminService>(client => client.BaseAddress = new Uri(builder.HostEnvironment.BaseAddress))
    .AddHttpMessageHandler<BaseAddressAuthorizationMessageHandler>();

builder.Services.AddScoped<IAdminService, AdminService>();

c#
builder.Services
    .AddHttpClient<AdminService>(client => client.BaseAddress = new Uri(builder.HostEnvironment.BaseAddress))
    .AddHttpMessageHandler<BaseAddressAuthorizationMessageHandler>();

builder.Services.AddScoped<IAdminService, AdminService>();

c#
public class AdminService : IAdminService
{
    private readonly HttpClient _httpClient;

    public AdminService(HttpClient httpClient)
    {
        _httpClient = httpClient;
    }
...
}

c#
public class AdminService : IAdminService
{
    private readonly HttpClient _httpClient;

    public AdminService(HttpClient httpClient)
    {
        _httpClient = httpClient;
    }
...
}

c#
// Client
builder.Services.AddScoped<IAdminService, AdminService>();

// Server
builder.Services.AddScoped<BlazorApp9.Client.APIs.IAdminService, AdminService>();

c#
// Client
builder.Services.AddScoped<IAdminService, AdminService>();

// Server
builder.Services.AddScoped<BlazorApp9.Client.APIs.IAdminService, AdminService>();