“You may not pass in objects that are already persistent” error is thrown when entering the Play Mode and the "Active Input Handling" system was changed in a custom Build Profile

Reproduction steps:
1. Open the attached “ASDQWE” project
2. Open the Build Profiles Window (Files > Build Profiles)
3. In the “New Android Profile 1” custom Build Profile, change “Active Input Handling” to a different value
4. In the pop-up window, agree to restart the Editor
5. Once the Editor is restarted, enter the Play Mode
6. Observe the Editor

Expected result: No errors are thrown
Actual result: “You may not pass in objects that are already persistent” error is thrown

Reproducible with: 6000.0.33f1, 6000.1.0a10
Could not test with: 2021.3.47f1, 2022.3.56f1 (Build Profiles are not available in this Stream)

Reproducible environment: MacOS 15.1.1 Intel, Windows 10 (user’s)
Not reproducible environment: No other environment tested

Workaround: Use the default Build Profile

Notes:

• The issue occurs:
  each time the Play Mode is entered
  when switching build profiles
  regardless of the Active Input Handling system chosen
  regardless of the platform of the custom Build Profile
• The issue is reproducible on a blank project