Related for Beitzah 4:4
במאי אוקימתא בתרנגולת העומדת לגדל ביצים ומשום מוקצה אי הכי אדמפלגי בביצה לפלגו בתרנגולת
But what's the case? It's a chicken that is designated to lay eggs, and [the argument is] regarding muktzeh. If so, this disagreement about the egg – let them [Beit Hillel and Beit Shammai] disagree about the chicken
Tosefta Beitzah (Lieberman)
If one slaughters a hen and finds eggs in her, although they are already ready, they are permitted.
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Tosefta Beitzah
One who slaughters a chicken [on Yom Tov] and found fully developed eggs inside of it -- behold, they are permitted.
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