I have a primitive approach.
I soak it in hot water and see if the water gets red or pink.
If it does, I change the water and soak it again.
If/when the water barely changes color or is clear, then I wash it in warm (or cool) water on a short gentle cycle with just a tiny bit of detergent.
Then I dry the fabric on a permanent press cycle.
I do try to keep the agitation of new fabrics to a minimum.
My belief/feeling is that the recipient may not be aware of careful washing techniques and I'm into preventive maintenance.
Also, if after several changes of water, the water is still red - you have a "bleeder" - I would NOT use it. Period.