Refactor Program.cs for exception handling and partial class

Updated the `try-catch` block in `Program.cs` to rethrow exceptions after logging them, ensuring proper error propagation. Added a `public partial class Program` declaration to enable splitting the `Program` class across multiple files. Adjusted closing braces to align with the new structure.

src/ReC.API/Program.cs

@@ -98,3 +98,5 @@ catch(Exception ex)
     logger.Error(ex, "Stopped program because of exception");
     throw;
 }
+
+public partial class Program;