Logs: Batch Processor Minimize Data Loss

### Description

Comply with the new spec added with this [PR](https://github.com/getsentry/sentry-docs/pull/15260/files) to the [BatchProcessor develop docs](https://develop.sentry.dev/sdk/telemetry/spans/batch-processor/), which minimizes data loss by sending spans in memory in a couple of scenarios. For more info, see [the project in Linear](https://linear.app/getsentry/project/batch-processor-minimize-data-loss-cocoa-9c8c7c66d5ee/overview).