The last batch of CG keys was not read or written to the CGDI MB. The manufacturer CGDI MB recommends replacing the IR receiver and transmitter. There was neither time nor desire to buy it and wait. Therefore, I tried to install the IR receiver and transmitter from an old faulty original key. Now CGDI MB reads and writes perfectly again !!!
Regular keys labeled CG. Of the five keys, only one key was recorded from the fifth time. After replacing IR light and photo diodes, the keys can be read and written without problems.
Alright, this is very useful experience shared by @ EduardNN, hope it helps if you have the same problem when you use CGDI MB programmer with BE key.
http://blog.obdii365.com/2021/05/19/change-ir-transmitter-and-receiver-in-cgdi-mb/