I think that's a poor framing. Yes, cure diseases, absolutely, but mortality is intrinsic to humanity. Suffering is a problem to solve. How we should live, knowing that we will most assuredly die is a problem to solve.
Treating death as a problem to solve I think is a conceit and ultimately a fools errand.
There's value in acknowledging we probably can't solve death, and coming to terms with that, but if you had a button sitting in front of you that would completely eradicate cardiovascular disease, you'd press it, right? There's no form of death that I'd even think about keeping, with the exception of suicide and maybe execution.
Why?
Ultimately you need to address what is the meaning of life, and what is your purpose.
I think if you offered immortality to me tomorrow I wouldn't take it.
I think if we offered it to you on your deathbed, as you are seconds away from it, you would.
Not everyone frames such problems the same.
A cure for your ailment is almost certainly implied by an offer of immortality. If we are capable of such a feat we will almost certainly have solved the problem of making humans youthful and healthy indefinitely.
And realistically speaking, death would still be optional, just not forced upon you and your hopes and dreams by random ailments.