Photo ink cartridge

Hi
I have Hp model c309a, Product Number: CC335A
this is a 5 ink tanks, black, cyan, red, yellow and a photo black.( smaller)
have been informed by HP that the photo black is only used for
photos.
As i only print documents, when the ink tanks are empty the photo black is still full,
I thought that, if i can trick the printer into using the photo black first or after the regular black ink by ,
changing the the printer properties and change the settings to photo printing.
as have...

Photo ink cartridge