Game performance in the Editor degrades after opening the "Search all" window

Reproduction steps:

1. Open the user attached project
2. Open the “MainScene” scene
3. Enter Play mode
4. In the Game view, in the top right corner press “Stats”
5. Observe FPS
6. Exit Play mode
7. Go to Edit → Search all
8. Enter Play mode
9. Observe the FPS in the Game view

Expected result: depending on the system FPS stays at around the 300 mark
Actual result: FPS is unstable and stays around the 15-20 mark

Reproducible with: 13.1.8 (2022.1.0f1)
Not reproducible with: 12.1.7 (2021.3.8f1), 13.1.8 (2022.1.0b16, 2022.1.1f1, 2022.1.12f1), 14.0.3 (2022.2.0b4), 15.0.0 (2023.1.0a4)
Could not test with: 10.10.0 (2020.3.37f1) (“Search all” window is not introduced)

Reproduced on: Windows 10

Note: reproduces only on URP