Compute shader reads from the wrong compute buffer when entering the Play mode for the first time after a shader compilation

Reproduction steps:
1. Open the attached “ReproProj” project
2. Open the “Assets/New Scene” scene
3. Enter the Play mode
4. Observe the Console logs

Expected Result: Only “2” is thrown in the Console
Actual Result: Mostly “1” and sometimes “2” are thrown in the Console

Reproducible with: 2021.3.43f1, 2022.3.44f1, 6000.0.17f1

Reproducible on: Windows 11 Pro
Not reproducible on: No other environments tested