Reproduction steps:
# Open the attached “Repro“ project
# Open and add the Entities Hierarchy window to some part of the Editor (Window > Entities > Hierarchy)
# In the Project window, select the "Assets/\_BugReproduction/GameMode\_<mode>.asset" ScriptableObject
# In the Inspector window, press the green "Play" button
# Wait until the game scene finishes loading and wait for someone in the game to hit you and observe the Console
# 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