Unfortunately 0x699538 is not a manager as some other classes from heroes3; otherwise we could deduce its name easily.
"Game" makes sense to me, as it holds data pertaining to the game. Without lack of a name for certain, I just went with "Main" as alternative for wog's "Base".
Base should be reserved for BaseMgr 0x699550 that handles all managers...which I poorly named Executive after Wog sources... rename was in fact done on source not long ago.
I renamed a lot of things recently and continue to do so... I know h3api is large and not the best documented, so far I went with a descriptive approach which was not something that could be said of many wog sources. There are plans for thorough documentation when time permits...

For mapeditor there is less doubt for names (although uncertainty remains) as it was compiled with RTTI giving us a lot of class names.
Question remains whether to part away from historical names or not.
e.g.
nwc vs common use
CSprite = Def
CSpriteFrame = DefFrame