How would you implement custom middleware to catch and log unhandled exceptions before they reach the exception handler, adding request-specific context?

A custom try/catch-wrapping middleware placed early in the pipeline can capture and enrich exception context (like the request path, user identity, or a correlation ID) before re-throwing (or short-circuiting with a response) so downstream logging or the exception handler has richer diagnostic information -- though care must be taken not to swallow exceptions unintentionally or duplicate work already handled by UseExceptionHandler/IExceptionHandler.

public class ExceptionEnrichmentMiddleware {
    private readonly RequestDelegate _next;
    public async Task InvokeAsync(HttpContext context) {
        try {
            await _next(context);
        } catch (Exception ex) {
            ex.Data["RequestPath"] = context.Request.Path;
            ex.Data["UserId"] = context.User?.Identity?.Name;
            throw;  // re-throw for the actual exception handler to process
        }
    }
}