previous tab does not receive keyboard input after closing setting tab with middle mouse button

### Windows Terminal version

1.13.10395.0

### Windows build number

10.0.22000.527

### Other Software

_No response_

### Steps to reproduce

1. Open Windows Terminal Preview and get the default profile tab
2. Open setting tab from the dropdown
3. Randomly click some profiles in the Profile list
4. Close the setting tab with middle mouse button
5. The default profile tab does not receive keyboard input (as if the window not focused)
6. Have to click the tab to make it work again

### Expected Behavior

The previous tab gets automatically focused and receives keyboard input after closing the setting tab with middle mouse button

### Actual Behavior

The previous tab does not automatically get focused and receive keyboard input

Start by reproducing the issue on Windows Terminal Preview 1.13.10395.0 using the listed steps, especially closing the Settings tab with the middle mouse button. Trace the tab-close and focus behavior, then verify that the previously active profile tab receives keyboard input without an extra click.

Written by the indexing model from the issue text.