Why care about the suffering, but not about the extinguishing of a life? If the moment to moment experience of a thing has value, but the thing's actual existence does not, why should (humane) murder not be legal? I do implore you to wake up -- you are deluding yourself for the sake of the pleasure.
Death is a form of suffering. Whether the creature you kill knows it lives only to die for you, whether it can see and understand some aspect of its cage or not, you took it before its time. It is all the same wrong in the end.
Now, eating an animal that died of natural or uncontrollable causes, or using for-real excess milk or eggs? Sure, fine. But those are not at all sustainable activities at a population level. We have to do things to animals that cause real harm to ever get enough of those products to sell them, even if we treat the animals way better overall. (And it's still better to push for better treatment than to do and feel nothing!)
My own mental backflip: I do still eat meat, because I'm a selfish and horrible person. I accept my complicity in the evil. But I also know my own choices will not meaningfully change demand patterns, so I allow myself the pleasure of the flavours I grew up eating, and try not to dwell on it too much. Even the Buddha was said to eat meat if it was what was served -- but of course, would request not to be served it!
Regardless, I know full veganism is the only actually ethically justifiable choice, and I believe and hope it will one day be the only realistic or acceptable choice for all of us. I will advocate for it (I hope) strongly whenever I can. No being deserves any part of what we do to them for food, and most people have pretty awful reasons to continue to eat meat; often literally at the level of, "animals can't suffer!", or, "humans are a higher being!", which is a mind-blowingly horrific thing to understand people will assert even after being given the evidence. I find the dismissive attitude appalling and try to get friends to at least see it in its real light.
Personally, once I catch wind that the tide toward veganism is beginning to turn, or that we somehow achieved affordable ethically lab-grown cheap muscle+fat tissue meats, I'll gladly turn that page. Or, once the horror again resurges strongly enough to overcome the value of shepherd's pie, thanksgiving ham, or a hamburger.
It's not much of an intellectual position, but it's all I've got. I ask that you at least be honest with yourself: the beings you eat have suffered for your pleasure.