People in my company are always scared to miss flights. I tell them that you can arrive at the airport very very late and make the flight.
If you OLCI then LY dosen't know if you are or aren't in the airport. If you don't arrive in the gate they will call your cellphone when the boarding is almost complete.
Since you are ebzed... if they call you and you tell them you will be in the in five or ten minutes the they will wait.
I am no status. My record is 12 minutes from arriving to the ariport to clearing passport control. I guess another 10 minutes maximum to hte gate.
I'm sure it will be fine.
(but please report and telll us how it went.