The throttle cable does not move the carb
It stretches the governor spring
The governor spring is attached to the governor arm
The governor arm is attached to the carburettor throttle plate
The governor arm CLOSES down the throttle plate when the engine is spinning
When the engine is stationary the governor arm allows the throttle plate to be open fully so moving your throttle control does not make the carb throttle plate move.
This confuses a lot of people who thing the mower throttle is the same as a car or motorcycle throttle where the pedal directly controls the position of the throttle butterfly
It is fairly common place for the governor spring to stretch so when you close the throttle control on the dash the spring falls off .
Now hat is your EXACT problem
Please describe the symptoms fully .