Reduce support cases: async code

We have some warnings like "Unexpected call to log" or "Choose either to return a promise or call done", although users aren't seeing them or are ignoring them. It can also just be difficult to debug async issues. My personal suggestion would be for people to use tools like eslint which can warn you for things like missing awaits. This should also just be better in the new model where we don't support the old callback `context.done` pattern.

## Support cases from June 2023 - Sept 2023

_Internal-only links_:

- https://elixir.microsoft.com/case-review/2307210030002971
- https://elixir.microsoft.com/case-review/2308070010003652
- https://elixir.microsoft.com/case-review/2309040050003156
- https://elixir.microsoft.com/case-review/2306060060001445
- https://elixir.microsoft.com/case-review/2306210030002505
- https://elixir.microsoft.com/case-review/2307110030001481
- https://elixir.microsoft.com/case-review/2307180030002197