I’ m willing to work myself to death before I give up.哪个译文更为恰切？

I’ m willing to work myself to death before I give up.哪个译文更为恰切？
A.在放弃工作之前，我宁愿累死。
B.我宁愿累死也不放弃这项工作。
正确答案：我宁愿累死也不放弃这项工作。