One exists already on the Headquarters page

I think a modification is possible for Power Core (because a Power Base can have more than 3 shield generators. In particular, I know Hard Core has 32) and same for Mega Core (whose Mega Crab stages can have more than 3 SGs as well)

edit: Now that I think about it some more, Gearheart's HQ on the War Factory can have more than 3 SGs as well, so if anything the modification can extend to all three central buildings

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