How do I provide emotional support?

So I’m not the most empathetic person.
I want to be better at it. ‘It’ being comforting people who are going through a tough time, whether it be that they are sick, dying, losing a loved one, losing a job, etc.
If any of you are familiar with the MBTI test, I’m an INTJ, and the T in my personality is extremely strong. I prefer logic over feeling, which does not help the whole empathetic situation.
I want to go into the medical field. I do want to help people and help them get better and healthier, but I’m not good at the emotional support that I know many different aspects of health care providing require you to give.
How do I get better at providing this emotional support?