Totally your choice, OP. One of my friends had her son at 47, he was unplanned, she conceived naturally at 46 having assumed that she wouldn't at that age!
At 63 with a sporty 16-year-old, she says that she finds it harder than with her older children, because she has less energy, but she's managing. Unfortunately, her marriage did break up when he was three so that has definitely made a difference.
One mistake she did make, which she didn't realize at the time, was expecting her oldest daughter to babysit. Although she's close to her brother, her DD has since said that she was resentful, because he wasn't her responsibility, IYSWIM. So if you decide to go ahead, don't expect your teenager to do too much, because the baby will be your decision, not his. He needs to get on with his own life.
The other aspect that my friend has mentioned is being at a different life stage to her peers, as none of her friends in her age group have teenagers. It's fine as she's met some younger friends like me (a mere 50
) through school/sports.
These are just things to consider, not reasons not to go for it.