In other words, you're asking if taking on a caloric deficit while keeping your current macro split will be sufficient, or if your split also needs to be modified, right?
I'd say it depends on how much you want to lose and how fast you want to lose it. You can lose a little on a caloric deficit. You will lose a lot more if you cut carbs.
That's the theory...
You're not wrong, and probably about 5 months.
You're looking to lose 7% of your bodyweight and you want as much of that weight loss as possible to come from fat.
7% of 252 is 17.65 lbs. 252 - 17.65 = 234.35 target weight
If you really want to keep it all, take a mild anabolic on your cut. Epistane is going for $25 right now at a major online retailer.