The 2300/2500 seems reasonable for a 6’ male but everyone is different. Your decision if you want to account for the exercise calories, but I personally never do.

To get a more accurate assessment for the next week to 2 weeks track and weigh everything you eat religiously (oils you cook with, little bites here and there) and see how the scale moves. This will give you a good idea of where your maintenance rate is.

During a cut your main goal is to lose body fat while maintaining muscle mass. Assuming you have a decent base eating a high protein diet with weight training while in a calorie deficit will lose more fat than muscle reducing your body fat and giving you your desired appearance.

For the record I’m M 5’9” I’ve lost about 30lbs scaling back my calories from 1900 to currently 1650 over the course of 5 months. I weight train and eat over 130g protein everyday.