You bring up a very interesting point. The fact that there is both voluntary and involuntary control of breathing. You breath all the time when and you are not thinking about it but if you wanted to you could hyperventilate right now. Or if you have increased CO2 in your blood you will start to involuntarily hyperventilate.
The important thing to know for this question in my opinion was addressed by
@dnrs which is that the diaphragm is a striated skeletal muscle under somatic control and therefore uses acetylcholine to contract the muscle. So it is blocking acetylcholine. Even without the ventilation part of the question you could already hone in on acetylcholine since it is the major neurotransmitter in skeletal muscle. The question even focuses your attention to breathing being paralyzed so you know they are referring to the somatic system since you know the diaphragm is skeletal muscle.
Finally, try not to get tripped up on a future question thinking that acetylcholine being the only way to block muscle contraction. There are multiple mechanisms. Another popular one is to block the sodium channels in muscle to prevent depolarization.