A wet dry vacuum cleaner is ideal for stain removal work use a clean dry white towel as an alternative.
Carpet dye stain.
How to remove dye stains from carpet.
Dye stain removal cleaning tools and agents that may be needed.
Bleach spots create areas of yellow white or a much lighter version of the original dye on the carpet which can detract from the beauty of the room.
If your vacuum cleaner is designed for dry carpet only do not vacuum the stained area until the removal procedure is finished and the carpet is dry.
First mix one tablespoon of dishwashing liquid like dawn and one tablespoon of white vinegar with two cups of warm water.
But keep in mind it will be permanent so be sure you can commit before you proceed.
Technically bleach does not stain a carpet.
Dye carpet give your plush a fresh clean stain free reboot with the guidance here.