Steps to reproduce:

1. Open any 2 Projects with the same Editor Version
2. Open the Standalone Profiler in both Projects (Window > Analysis > Profiler (Standalone Process))
3. Try switching the "Player Name" or Profiling Target to "Edit Mode" or "Play Mode" in the Profiler that was opened second

Actual results: Target is initially set to the Project from which the Profiler was opened from, Profiling Target changes to the other Project if a Standalone Profiler was launched from it in, this will last until Project is restarted and no other Profiler processes are run before. After the Target is switched to other Project, neither Play Mode or Edit Mode can be Profiled

Expected results: When switching to Edit or Play Mode target, it switches target only in that Project from which the Profiler was initially launched from, Projects are only switched when directly switching via IP

Reproducible with versions: 6000.0.67f1, 6000.3.7f1, 6000.4.0b7, 6000.5.0a6

Tested on (OS): Windows 11