Unify handling of "IsBusy" across the SQLite provider

Today we have the looping around "IsBusy" on multiple places. Duplicating the logic and (more importantly) possibly not handling it in all places (i.e. #36295).

We should create an unified way of handling the "IsBusy" (or maybe reusing what is already done in `RetryWhileBusy`) and do a sweep across the code and plug it in every place where required.

The retry logic can also be bit smarter and retry right away the first time and then do maybe exponential backoff.