I'm not totally sure, but it may be a convention to record EGE as a positive value.
Heat of Hydrogenation, for example, is recorded as a positive enthalpy value even though it is truly negative.
I don't know where you're getting your sources from, but mine records EAs as negative. EGEs may be positive just because it's convention.
If this goldbook says EA is positive, then that is no more wrong than my reference text.