Taxing question

Hello, Im trying to book a taxi from Gyeonggi-do to Incheon airport for in advance. I see Kakao taxi has the newer blue taxi partner, where I can book my taxi only about 10 minutes to 1 hour in advance.

Im wondering about the logistics of actually getting a taxi from Uijeongbu to Incheon around 2-3a.m. I have a very early flight or do you think it would be better to make the booking now for the venti? it just feels like a waste since its so large. please give me any advice you can ! thanks