Cockatiel does not want to hatch her eggs
I have 3 cockatiels, 2 males and a female- all of them live together in the same cage, mated a couple of times. A couple of days ago, I could see that the female was feeling uneasy and had a bulge on her back near the beginning of the tail and dropped hints like she was trying to lay eggs. I kept a box for her in the cage, she did check out the box, but didnt know when to lay the egg, she went on to her swing and dropped the egg and it cracked. I removed dirty sheet and the cracked egg from the sheet and placed a fresh paper sheet, she layed another egg outside the box, unbroken and healthy. Tried pushing the egg under her chest herself, sat there for a few seconds and gave up and went playing with her mate until she fell asleep. I observed for 1 whole day to see if she or her mate would sit on the eggx none of them did, they ignored the egg completely. Today I tried removing the egg with a tissue, didn’t touch it, the pair was protective and looked at me as if they wanted the egg to remain, I kept the egg back at the same place that it was, she again tried to check it out and push it under her chest for a few seconds and pushed the egg away, ignored it and got busy with her other activities again. I live in India and it is mild summer here, the cage is kept in the balcony covered with thin cotton sheets to protect them from extreme heat. Has a mineral block and fresh water and adult cockatiel food with seeds, millets and other grains the entire time and fresh veggies that they ocassionally enjoy. I do spend some time with all the 3 of them everyday, they fly freely and play around in the balcony during the day and sleep in their cage from sunset to sunrise. I’d like to know the next step- should I remove the egg or keep it?