Add integration and unit tests for Notes API with PostgreSQL-based test hosting configuration

Freman.Sample.Web.IntegrationTests/TestHost/SampleWebFactory.cs

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+using Microsoft.AspNetCore.Hosting;
+using Microsoft.AspNetCore.Mvc.Testing;
+using Microsoft.Extensions.Configuration;
+
+namespace Freman.Sample.Web.IntegrationTests.TestHost;
+
+public sealed class SampleWebFactory(string connectionString) : WebApplicationFactory<Program>
+{
+    protected override void ConfigureWebHost(IWebHostBuilder builder)
+    {
+        builder.UseEnvironment("Testing");
+
+        builder.ConfigureAppConfiguration((_, config) =>
+        {
+            var overrides = new Dictionary<string, string?>
+            {
+                ["ConnectionStrings:AppDb"] = connectionString,
+                ["ApplyMigrationsOnStartup"] = "false"
+            };
+
+            config.AddInMemoryCollection(overrides);
+        });
+    }
+}