chore: group .NET into backend/ and drop non-.NET test artifacts

- Move all .NET (6 projects, solution, Directory.*.props, nuget.config)
  into backend/ so the monorepo root can host non-.NET projects later
- Remove throwaway test artifacts: player.html, pl.json
- Trim dead Flutter rules from .gitignore

Build from backend/Musify.slnx: 0 warnings, 0 errors.

backend/Musify.Application/Users/Responses/UserApplicationResponse.cs

@@ -0,0 +1,26 @@
+using Musify.Domain.Entities;
+
+namespace Musify.Application.Users.Responses
+{
+    public record UserApplicationResponse(
+        long Id,
+        string Name,
+        string? FirstName,
+        string? SecondName,
+        string? ProfilePictureUrl,
+        DateTime CreatedAt,
+        DateTime UpdatedAt)
+    {
+        public static UserApplicationResponse FromEntity(User user)
+        {
+            return new UserApplicationResponse(
+                user.Id,
+                user.Name,
+                user.FirstName,
+                user.SecondName,
+                user.ProfilePictureUrl,
+                user.CreatedAt,
+                user.UpdatedAt);
+        }
+    }
+}