I'm a former hairdresser and know this product eventually washes out of hair, but it takes a while. So, it should wash out of the carpet using something like liquid dish soap, too, but could take many washings. Shampoo takes it out of hair and dish soap is stronger so might work better and faster. I'd probably try Dawn, which works well on oil. Since this product has argan oil, it might be more effective. I think there is a new super strength Dawn, so look for that. Try on a small area at a time. Don't rub but dab, so you don't frizz the carpet fibers.

If that doesn't work, then I would try a little hydrogen peroxide (regular strength, no stronger). Try dabbing it on in a small area with a white cloth and see if it pulls out the blue. If so, keep going and rinse really well as you go so it doesn't lighten the rest of the area after the blue is gone. What is the rug made from?

If neither of these work, I'd call a pro carpet cleaner and see if they think they can get it out. Or start with them!

Thank you so much for your advice, I'll try this on the weekend and get back to you when I can.