battlefield 2 cd key recovery?

I bought battlefield 2 on release around 10 years ago (pre origin)  and when i installed it i had to set up an account to play online which i did.

Its been a while since i played and since then ive lost my game manual along with my cd key i was wondering if my cd keys retriveable from my account? or does my cd key not get linked to the account i set up?

by the way this is battlefield 2 im refering too not bad company 2 the select location box doesnt have battlefield 2 in it for some reason : (