I would recommend that you just cut it off. It is simply, clean and quick. Treat cut with cinnamon powder.
You didn't see this before because the flowers were not pollinated or the cross was not successful.
In a Cattleya seed pod like this you have the potential for over 1 million seeds, one million plants. But the process is more complicated and costly. You could even cut it back to 500 seedlings but then, what do you do with 500 seedlings. If you are going to choose the option that produces just 2 dozen plants ultimately, the cost would be ridiculously expensive per plant.
Commercial growers who breed their own plants typically have 2,000 or 3,000 seedlings created. But they have a network to disperse them and to make a nice profit. But for the hobbyist orchid grower it is just so much easier to remove the pod.
You have a stunning plant!!!