Diet : Does making unfertilized eggs part of my diet make me harm animals indirectly?

Hi there! I am on edge about this.

I want to improve my health in general and I was suggested eggs for it.

But as a vegetarian who tries to keep animal products to a minimum, so I am not indirectly hurting other animals, the recommendation is making me uncomfortable.

I thought about unfertilized eggs, as they don’t have the scope of life. But I am still unsure.

Also I do drink milk, even though I know there is some level of suffering in dairy farming as well.

Can anyone suggest or advise on this?

Edit -

Thanks for your responses everyone, it made me rethink and reaffirm my hesitation. I will not be partaking in eggs as it’s not worth the suffering it imposes on other animals. I’ll try to do a deeper dive on plant alternatives.