In a way that relates to or is done by the government, or in terms of how government works.
From 'governmental' (adjective form of government) plus the adverb suffix '-ly'. This creates an adverb that modifies how an action occurs at the governmental level.
Adverbs ending in '-ally' are English's way of turning concepts into descriptions of *how* things happen—'governmentally' tells us the scope or authority level of an action.
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