Changing the colour of a print on a hoodie

Hello! So I have a black hoodie (80% cotton) with a large print on the back side which is cyan colour (light blue). The print is slightly plastic/rubberish. I want to make the print less visible or turn it black. Is it possible to do it by dying the whole hoodie in black dye? Will the print dye black or stay light blue? Could there be any other better techniques?

Sincerely,
Perkele

Changing the colour of a print on a hoodie