Reference Docs
FocusAnalyze notifies you about things that need a decision, and tries hard not to notify you about anything else.
Event reminders are deliberately not duplicated here. Your calendar already does reminders well, and two notifications for one meeting is worse than one.
Everything lands in the in-app inbox whether or not it was also pushed. Mark items read individually or clear the lot. Settings → Inbox controls what collects there.
Settings → Notifications gives per-type control, so you can keep mentions and drop report summaries without going all-or-nothing.