Python API - is here a way to set the "Output folder" path in "Export Textures" via python?

I want to set the Output Folder of File/Export Textures gui, via python API.

Is there a way to do that, if yes how?

Also the same question for Output template

Is there a way to set (select a template) it via python, if yes how?

Also the same question for New Project/Project template.

Is there a way to set (select a template) it via python, if yes how?

Thank You!