InvalidOperationExceptions are being thrown in the Console when Entities Hierarchy window is open/visible

Reproduction steps:

1. Open the attached “Repro“ project
2. Open and add the Entities Hierarchy window to some part of the Editor (Window > Entities > Hierarchy)
3. In the Project window, select the "Assets/_BugReproduction/GameMode_<mode>.asset" ScriptableObject
4. In the Inspector window, press the green "Play" button
5. Wait until the game scene finishes loading and wait for someone in the game to hit you and observe the Console
6. Close/Open the Entities Hierarchy window and observe the Console

Expected result: No InvalidOperationExceptions are present in the Console
Actual result: InvalidOperationExceptions are thrown when the Entity Hierarchy windows are visible

Reproducible with: 1.2.0, 1.3.2 (6000.0.23f1)

Reproducible on: Windows 10 (22H2)
Not reproducible on: No other environment tested