bug(FocusMonitor): Focus origin does not update correctly

[MariaBulboaca]

Is this a regression?

• Yes, this behavior used to work in the previous version

The previous version in which this bug was not present was

No response

Description

The focus origin does not change for the first element on the page when we leave the content of the page and then return with another focus origin for the element.

Reproduction

Steps to reproduce:

1. Go to: https://stackblitz.com/edit/sl2c5w?file=src/app/focus-monitor-focus-via-example.html
2. Click on the first button ("Focus Monitored Element")
3. Focus origin is set to "mouse"
4. Click on the URL from the page
5. Press TAB key to focus again the first button

Expected Behavior

Focus origin should be "keyboard"

Actual Behavior

Focus origin remains set to "mouse"

Environment

• Angular: 16.0.0
• CDK/Material: 16.0.0
• Browser(s): Chrome
• Operating System (e.g. Windows, macOS, Ubuntu): Windows