Maybe I've not been clear, sorry.
As usual, one copy of the Technical Logbook should be handed to the ramp agent. If I fill the De-icing section of the TLB during taxi and de-icing with engines running, I should have handed the TLB copy to the ramp agent before filling that part.
So I have my copy filled but the agent's one not. Are they allowed to fill their copy of our TLB?
Did you get it now?