The menopause is specifically when the process is completely done and dusted though, what you are referring to is the peri-menopause, which is different.
Her chances of getting pregnant naturally are small, and her chances of having a live birth even smaller, but not impossible, even in peri.
IVF can be achieved at any age, there are women in their 70’s who have carried IVF pregnancies, they just have to use donor eggs and take hormones such as progesterone to enable the pregnancy.
Even in peri-menopause, Katie would have to use donor eggs because her few remaining eggs will be poor quality at her age. She would have to stay healthy and might be given progesterone to ensure she didn’t miscarry. And of course, she would have to pay a fortune.