CC send time in Xbee Command mode sequence

Hi,

Please tell me about the Command Character (CC) and Guard Time (GT) of the Xbee AT commands.

I understand that the sequence GT+CC+GT is required to put Xbee into command mode.

The User Guide’s CC explanation reads as follows:
“You must enter it three times within the guard time to enter Command mode.”

By the way, I want to set GT to a minimum of 2ms.
At a baud rate of 9600bps, it takes 3.125ms to send “+++” without parity.
1/9600 = 104.16 us/bit
104.16 * 30bit = 3.124 ms

When GT is set to a minimum of 2ms, it is physically impossible to follow the CC sequence. Is there a mistake in my understanding?
Can you tell me the time limit to send the CC?