Implement live game clock and simulation controls; enhance API with clock update functionality and improve world summary with clock data; update UI to display simulation controls and integrate clock features into the game experience.

src/TheLivingWorld.Api/Program.cs

@@ -2,6 +2,7 @@ using System.IO.Compression;
 using Microsoft.AspNetCore.ResponseCompression;
 using TheLivingWorld.Api.Endpoints;
 using TheLivingWorld.Api.Generation;
+using TheLivingWorld.Api.Simulation;
 using TheLivingWorld.Api.Storage;
 using TheLivingWorld.Core.Contracts;
 using TheLivingWorld.Core.Export;
@@ -35,6 +36,8 @@ builder.Services.PostConfigure<OsmOptions>(options =>
 
 builder.Services.AddSingleton<WorldStore>();
 builder.Services.AddSingleton<ChunkExporter>();
+builder.Services.AddSingleton<WorldSimulationHost>();
+builder.Services.AddHostedService(provider => provider.GetRequiredService<WorldSimulationHost>());
 builder.Services.AddSingleton<WorldGenerationService>();
 
 // Geometry payloads are highly repetitive JSON and compress by roughly an order of magnitude.