Audit non-fatal errors for push

[data-sync-user]

We recently encountered a bug (see https://github.com/mozilla/application-services/issues/4691) where web push was broken, and the only reason we caught it was because a user reported it. The reason it didn't hit sentry is that there is a list of non-fatal errors defined in Android components (see https://github.com/mozilla-mobile/android-components/blob/main/components/feature/push/src/main/java/mozilla/components/feature/push/AutoPushFeature.kt#L364-L373)

This task is to audit those vs the Rust layer and make sure that the errors classified as non-fatal there are safe to ignore, and haven't evolved to include more errors

┆Issue is synchronized with this Jira Task ┆Story Points: 3 ┆epic: Fix Push