You might try
fill the tank till it reads almost full with water. Then open valve all the way.
It might clear what is in the gate.
Another way would be (after dumping the black tank)
close the black tank dump and cap the dump line and close the gray tank valve.
fill black tank with water until it is at the bottom of the toilet ball valve.
pull cap (some water will spill so have bucket ready)
connect dump line then open black dump valve
hopefully this will clear whatever is caught in the gate.
if you are successful with getting it cleaned out.
do not leave the black tank dump valve open when parked. Only dump your tanks especially your black tank when it is 3/4 full or better. Same with gray tank using it to clean out the dump line.