I would not cut it at all. It has been injured once, why injure it again? Yes it does look damaged and the very tip has been broken off.
It could be mechanical, it could be pet damaged? or insect damage, hard to say.
But you could trim it halfway between the missing tip and first node. Treat cut with cinnamon powder. It protects the cut from fungal and bacterial damage.
Either way, it could very well grow a new section of inflorescence with buds. Probably fewer then undamaged but that is better then no flowers.
It should swell and make new buds rather quickly. But if at anytime, the tip starts to yellow or look soft, you can always cut it then.
