Reproduction steps:
1. Create a new project
2. Open Shortcuts window
3. Change the shortcut of "3D Viewport/Fly Mode Backward" to "Q"
4. Close the "Binding Conflict" pop-up window
5. Try to type in the search

Expected result: A full word can be typed
Actual result: The search bar becomes unselected when trying to type

Reproducible with: 2022.1.0b4, 2022.1.0b11, 2022.2.0a1, 2022.2.0a7
Not reproducible with: 2019.4.36f1, 2020.3.30f1, 2021.2.15f1, 2022.1.0b3