New version

Drab.LocalDb/IoC/ILocalDbConfiguration.cs

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+namespace Drab.LocalDb.IoC;
+
+public interface ILocalDbConfiguration
+{
+    public string ConnectionString { get; set; }
+}

Drab.LocalDb/IoC/IocLocalDbRegister.cs

@@ -0,0 +1,13 @@
+using Microsoft.EntityFrameworkCore;
+using Microsoft.Extensions.DependencyInjection;
+
+namespace Drab.LocalDb.IoC;
+
+public static class IocLocalDbRegister
+{
+    public static IServiceCollection AddLocalDatabase(this IServiceCollection services, ILocalDbConfiguration localDbConfiguration)
+    {
+        services.AddDbContext<LocalDbContext>(cx => cx.UseSqlite(localDbConfiguration.ConnectionString));
+        return services;
+    }
+}