I don't care about the non stick property of a non stick pot. Is there any harm in washing it in a dishwasher?
It already looks like the coating has worn off significantly.  Without making any health claims (as I don't know what the impact of ingesting particles of T-fal coating), I don't think the dishwasher is going to do more damage, or release any more coating, than your use of inappropriate non-stick utensils already has.  ...maybe, just time for a new pot.