How to disconnect an internal screen session

I usually use the gnu screen as follows: 1. Start a screen session for all my tasks 2. When I log in to the machine, I connect to the screen session (screen -x) made by my colleague (this makes it an “internal screen” )

The problem is that when I need to disconnect from the "internal screen" using the ": detach" command or ctrl + a + d, I disconnect from the main screen (in # 1).

Can I disconnect from the "internal screen"?

thank