Structured Logs: Logs for crashes

[kahest]

We need to ensure that Logs are persisted/flushed correctly so that unsent Logs don't get lost when the app crashes.

[linear]

RN-317 Structured Logs: Logs for crashes

[lucas-zimerman]

Blocked by
getsentry/sentry-cocoa#5660
getsentry/sentry-java#4690

[lucas-zimerman]

Actually, it is blocked by #5290
We will not wait for logs to be flushed once batch processor is implemented, fixing the issue with logs not being sent.

[masinette]

Related to: https://sentry.zendesk.com/agent/tickets/167711