Make Discover and upload genres dynamic

Discover used a hardcoded list of genre tiles that searched track titles,
and the upload form kept its own copy of the genre list and compatibility
rules. Both now come from the backend.

Backend:
- GET /genres returns genres with at least one track and their counts.
- GET /genres/available returns every assignable genre with the genres
  it cannot be combined with, so the rules live only in
  GenreCompatibility.
- GET /tracks accepts ?genre= (case-insensitive, 400 on unknown values).

web-player:
- Discover tiles are built from /genres; each opens /explore?genre=X, a
  song list filtered by that tag. Unknown genres fall back to a label
  derived from their name.
- The upload form loads /genres/available, disables incompatible genres
  as you pick, and the server validates before reserving upload URLs.
- lib/data/trackGenres.ts is removed; its helpers merge into
  lib/data/genres.ts.
- Regenerate the typed API client.

backend/Hosts/Musify.Api/Endpoints/GenreEndpoints.cs

@@ -0,0 +1,39 @@
+using Mediator;
+using Musify.Application.Genres;
+
+namespace Musify.Api.Endpoints;
+
+public static class GenreEndpoints
+{
+    public static IEndpointRouteBuilder MapGenreEndpoints(this IEndpointRouteBuilder app)
+    {
+        var group = app.MapGroup("/genres")
+            .WithTags("Genres");
+
+        group.MapGet("/", GetGenres)
+            .WithName("GetGenres")
+            .WithSummary("Get The Genres That Have At Least One Track, Most Populated First. Works Anonymously.")
+            .Produces<IReadOnlyList<GenreResponse>>();
+
+        group.MapGet("/available", GetAvailableGenres)
+            .WithName("GetAvailableGenres")
+            .WithSummary("Get Every Genre A Track Can Be Tagged With, Including The Genres It Cannot Be Combined With. Works Anonymously.")
+            .Produces<IReadOnlyList<AvailableGenreResponse>>();
+
+        return app;
+    }
+
+    private static async Task<IReadOnlyList<AvailableGenreResponse>> GetAvailableGenres(
+        IMediator mediator,
+        CancellationToken cancellationToken)
+    {
+        return await mediator.Send(new GetAvailableGenresQuery(), cancellationToken);
+    }
+
+    private static async Task<IReadOnlyList<GenreResponse>> GetGenres(
+        IMediator mediator,
+        CancellationToken cancellationToken)
+    {
+        return await mediator.Send(new GetGenresQuery(), cancellationToken);
+    }
+}

backend/Hosts/Musify.Api/Endpoints/TrackEndpoints.cs

@@ -1,4 +1,5 @@
 using Mediator;
+using Musify.Domain.ValueObjects;
 using Musify.Application.Tracks;
 using Musify.Application.Tracks.Responses;
 using Musify.Application.Shared;
@@ -19,8 +20,9 @@ public static class TrackEndpoints
 
         group.MapGet("/", GetTracks)
             .WithName("GetTracks")
-            .WithSummary("Get Paginated Tracks, Optionally Filtered By Name.")
-            .Produces<TracksSearchResponse>();
+            .WithSummary("Get Paginated Tracks, Optionally Filtered By Name And Genre.")
+            .Produces<TracksSearchResponse>()
+            .ProducesValidationProblem();
 
         group.MapGet("/{id}", GetTrackById)
             .WithName("GetTrackById")
@@ -92,10 +94,25 @@ public static class TrackEndpoints
         IMediator mediator,
         CancellationToken cancellationToken,
         string? name,
+        string? genre,
         int pageNumber = 1,
         int pageSize = 10)
     {
-        var result = await mediator.Send(new GetTracksQuery(name, pageNumber, pageSize), cancellationToken);
+        Genre? parsedGenre = null;
+        if (!string.IsNullOrWhiteSpace(genre))
+        {
+            if (!Enum.TryParse<Genre>(genre, ignoreCase: true, out var value) || !Enum.IsDefined(value))
+            {
+                return Results.ValidationProblem(new Dictionary<string, string[]>
+                {
+                    [nameof(genre)] = [$"'{genre}' is not a valid genre."]
+                });
+            }
+
+            parsedGenre = value;
+        }
+
+        var result = await mediator.Send(new GetTracksQuery(name, pageNumber, pageSize, parsedGenre), cancellationToken);
         return result.ToHttpResult();
     }
 

backend/Hosts/Musify.Api/Program.cs

@@ -40,6 +40,7 @@ app.UseAuthorization();
 app
     .MapAlbumEndpoints()
     .MapConfigEndpoints()
+    .MapGenreEndpoints()
     .MapLikeEndpoints()
     .MapMixEndpoints()
     .MapPlayListEndpoints()