Try to attach to lifecycle events and flush when closing (MAUI / ASP.NET Core)

[jamescrosswell]

Discussed: We may want to create follow-up issues, probably for .NET MAUI and ASP.NET Core, to "attach" to the application model's own "lifetime" events, like IHostApplicationLifetime or "generic Host"-based apps like ASP.NET Core and .NET Workers.

Originally posted by @Flash0ver in #4489

[linear]

NET-589