It won't get softer. Sometimes it will squeeze out, it may take some manipulating to get it to come loose. You may need to do a fair amount of squeezing. Worst case you can use an instrument to scoop/pull it out, but you need to go slow and careful so that you don't damage the eye. A curette like this one would be a good option:
https://www.amazon.com/Molt-Bone-Cu...&keywords=curette,+bone&qid=1589576320&sr=8-4
Another video below, the chicken shown is blind in the infected eye:
https://www.amazon.com/Molt-Bone-Cu...&keywords=curette,+bone&qid=1589576320&sr=8-4
Another video below, the chicken shown is blind in the infected eye: