.NET Core与.NET 4.8共享ASP.NET Identity Cookie配置求助

我需要让.NET Core（.NET 6）的新登录页面和遗留.NET 4.8应用共享ASP.NET Identity Cookie，实现一处登出则两处同步登出。双方均使用最新版ASP.NET Identity，以下是我当前的配置代码：

.NET 6（登录页）配置 #

builder.Services.AddDataProtection()
    .PersistKeysToFileSystem(new DirectoryInfo(@"c:\temp\common"))
    //.ProtectKeysWithCertificate("thumbprint")
    .SetApplicationName("SharedCookieApp");

builder.Services.ConfigureApplicationCookie(options =>
{
    options.Cookie.HttpOnly = true;
    options.ExpireTimeSpan = TimeSpan.FromMinutes(10);
    options.SlidingExpiration = true;
    options.Cookie.SameSite = SameSiteMode.Lax;
    options.Cookie.Name = ".MyCookie";
});

.NET 4.8（遗留应用）配置 #

public void ConfigureAuth(IAppBuilder app)
{
    // Enable the application to use a cookie to store information for the signed in user
    // and to use a cookie to temporarily store information about a user logging in with a third party login provider
    // Configure the sign in cookie
    app.UseCookieAuthentication(new CookieAuthenticationOptions
    {
        AuthenticationType = "Identity.Application",
        LoginPath = new PathString("/Account/Login"),
        Provider = new CookieAuthenticationProvider
        {
        },

        // TODO: Need to make the Dataprotection work on Azure

        CookieName = ".AspNet.SharedCookie",
        CookieSameSite = Microsoft.Owin.SameSiteMode.Lax,
        CookieSecure = CookieSecureOption.Always,
        TicketDataFormat = new AspNetTicketDataFormat(
            new DataProtectorShim(
                DataProtectionProvider.Create(new DirectoryInfo(@"c:\temp\common"),
                builder => builder.SetApplicationName("SharedCookieApp"))//.ProtectKeysWithCertificate("thumbprint") // for production
                .CreateProtector(
                        "Microsoft.AspNetCore.Authentication.Cookies.CookieAuthenticationMiddleware",
                  // Must match the Scheme name used in the ASP.NET Core app, i.e. IdentityConstants.ApplicationScheme
                  "Identity.Application",
                  "v2"))),
        CookieManager = new Microsoft.Owin.Infrastructure.ChunkingCookieManager()
    });

    app.UseTwoFactorSignInCookie(DefaultAuthenticationTypes.TwoFactorCookie, TimeSpan.FromMinutes(5));
    app.UseTwoFactorRememberBrowserCookie(DefaultAuthenticationTypes.TwoFactorRememberBrowserCookie);
}

我已创建包含上述代码的GitHub仓库，恳请有相关经验的开发者帮忙检查配置是否正确，并提供实现同步登出的建议与验证方案。

内容的提问来源于stack exchange，提问作者Philip Johnson