Shortcuts for opening specific links to a secret window during normal browsing

I have been trying to open a specific link in a private window while using the regular browser, not from within a private window. I set a hotkey using a separate extension and added a script using the Tampermonkey extension, but despite these efforts and checking the settings, I have not been able to achieve the desired action.

What other methods might be available to resolve this issue?

@onlysnake,
While I cannot speak to your script/the extension you’re using, you can open any link in a Private browsing window from a standard window by right-clicking on it and selecting Open link in Private Window:
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