Wilverine... I take it you're not a carpet cleaner, but a member of the public who's come here for advice?
So you probably don't have a machine available, but if you have access to borrow someone's vax or bissel cleaner then I'd recommend just flushing the paint through with hot water, to get as much out as possible.
then mix up up a solution of washing detergent (maybe 2 tablespoons in a litre) and sponge it on to the area. Let it soak in for 10 minutes and then use something to gently agitate the area, like a soft brush. Then use the machine to flush it out. Go over it with plenty of wet strokes first, and then go over it realllllllly slowly for ages just with the suction, no water, to get as much moisture out as possible.
You'll probably reduce the intensity of the paint stain but not get it out completely, but if you're changing the carpet soon I wouldn't lose any sleep over it.