autorun X11 from 1st mintty invocation

["d.henman" <dhenman at gmail dot com>]

When I click on cygwin's mintty icon, which is installed by setup.exe and is, basically a
link which invokes mintty as:

     C:\cygwin\bin\mintty.exe  -i /Cygwin-Terminal.ico -


I then start X11 by running   $  startx &   from this 1st initial mintty window.


Objective.  I want to have  'startx'  ran automataically when I first start mintty and have the two terminals the initial plain mintty and the second one attached to X11, which is current done in startx's   ~/.xinitrc  as:

exec mintty  -t "X11 Display Termain" -i /Cygwin-Terminal.ico -


Is there some mintty resource file that can automatically invoke:  startx ?

Thank you.

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