Asp.net core: injecting into event handler?

I've got an asp.net core app and this is my set-up:

services.AddSingleton(typeof(ISchedule), typeof(MySchedule));
services.AddLogging();
services.AddScheduler((sender, args) =>
{
    // How do I log here?
});

Unfortunately I don't have control over that scheduler middleware, so that AddScheduler and the lambda is all I have.

So far the only thing I have managed to come up with is:

services.AddSingleton(typeof(ISchedule), typeof(MySchedule));
services.AddLogging();

IServiceProvider serviceProvider = services.BuildServiceProvider();
services.AddScheduler((sender, args) =>
{
    ILogger<ISchedule> logger = serviceProvider.GetService<ILogger<ISchedule>>();
    logger.LogError(args.Exception, "Uncaught exception during processing");
    args.SetObserved();
});

But this is just another way to sneak in a kind of "ServiceLocator", via the closure.

Are there any better ideas? How should this be ideally handled?

(Re this is not a duplication of How do I write logs from within Startup.cs because this is about injecting into an event handler, not in the startup object.)