How to Publish my Application as .exe for 32bit

[passel]

Seems like you aren't generating a 32-bit compatible application.
At the top of your first image, the platform still says "AnyCPU" is still the active platform for building (technically seems that should have worked). I would try changing that to x86.
And then make sure you are choosing the correct executable. The executable will be generated in a different branch of the tree under the bin directory, i.e instead of in bin/debug it will be in bin/x86/debug perhaps.