Did you get the new part yet? If so look at that. Twisting may not help much at getting it to release because it’s an o-ring inside of it that is separate and that is the part that heat cooked and is causing it to be stuck now. A lot of force may be needed, do whatever you can to not damage the reservoir but if the part is bad and going to be replaced cutting it apart with a side cutter might be the solution or rip the grey locking mechanism out.
Good Luck