Public bus options from Beijing Airport T3 to city center in the early morning

Which airport in Beijing? There are two of them. Suppose it's the capital airport. From 05:00 - 06:22 am, you can take the early city buses to the hotel, but it takes about 2h 15min and CNY 7 and you need to walk for about 2km, exhausting and time-consuming. And if you take the first express train and metro, it takes only about one hour and only 630m walking distance. So considering the long duration, wait for the express line at 06:22 is more recommended, taking CNY 28.
The city buses route:
Get out from the terminal and walk southward to take bus 850 on Yijing Rd., and get off at Fangjiazhuang, then walk southwest to the T-junction and turn right to take bus no. 110 to Dengshi Dongkou (灯市东口), then walk south to the T-junction and turn left, walk for about 400m to find the hotel on the left.
Express train and metro:
Take express train at T3 to Beixinqiao, tranfer to line 5 to Dengshikou, take Exit A and walk westward along Dengshikou Avenue for 400m to find the hotel.

The 3rd option is taxi, and you can take it anytime you want. Just follow the direction signs to the taxi stand and get onboard. It costs about CNY100-150.

Thank you, Randy. :)
Yes, capital airport. Thanks for the detailed instructions. Yes, the train+metro seems to be the better option. :)