[Bug]: Notifications do not appear on the MetaMask badge; when a user toggles any of the notification settings on and off, there seems to be a pause in notification delivery

[sleepytanya]

Describe the bug

1. Notifications appear only within the MetaMask tab or popup, but not on the MM badge - not sure if that's expected.
2. When a user toggles any of the notification settings on and off, there seems to be a pause in notification delivery. Notifications resume once the user navigates to Notifications -> Settings, they then appear exclusively within the MetaMask tab or popup.

Expected behavior

Screenshots/Recordings

Chrome:

notifs.mov

Firefox:

ff.mov

Steps to reproduce

1. Go to Notifications -> Settings, disable / enbale any of the toggles for Chrome (for Firefox you don't need to ON/OFF toggles, notifications do not show up after enabling them)
2. Send a transaction (-s)
3. Notification doesn't appear
4. Go back to Notifications -> Settings
5. Notifications for the sent transactions displayed

Error messages or log output

No response

Detection stage

In production (default)

Version

12.1.0

Build type

None

Browser

Chrome, Firefox

Operating system

MacOS

Hardware wallet

No response

Additional context

No response

Severity

No response