Answer
As a workaround, install Developer Studio successfully on a Windows 10 machine first, then copy the resulting installation folder over to the Windows 11 device — the desktop shortcut can be regenerated manually on the new machine from the tool's bin folder afterward, and further environment-specific tweaks can be made directly in the Developer Studio configuration file located in its etc folder. This sidesteps whatever is preventing the installer itself from completing on Windows 11 directly.