Keyboard navigation partially breaks after tabbing out from the search field

How to reproduce:

1. Create a new project
2. Right-click in the Project Window
3. Navigate to the Create option
4. Press the Tab key to focus the Search field
5. Press the Tab key again to re-focus the selection menu
6. Press the Up or Right arrow key

Expected result: The highlighted option in the selection menu changes based on which key was pressed

Actual result: The Up and Right key presses for navigation are ignored. Only the Down arrow key works

Reproducible with: 2023.2.0a15, 2023.2.0b9, 2023.3.0a5

Not reproducible with: 2021.3.30f1, 2022.3.9f1, 2023.1.13f1, 2023.2.0a14 (New contextual menus were not introduced yet)

Notes:

1. From 2023.2.0a15 to 2023.2.0a18 tabbing out from the Search field did not work and threw a NullReferenceException
2. Pressing the Tab key twice to re-focus the selection menu can be used as a workaround