They're likely to cause a rise. It's different for everyone and the more processed a carrot, the faster you'll get the energy from it.
Root vegetables such as carrots are storage organs. It’s where plants store their energy in the form of carbohydrates. Our bodies break these down quickly to simple sugar molecules.
If carrots cause spikes for you, reduce or avoid for a bit. Your goal is not just to lose weight but improve metabolic flexibility. You may find that carrots affect you differently in the future as your metabolism changes.
There are plenty of good reasons to eat carrots, but you'll learn to do so in a way that won't cause you to take in too much energy too quickly.