Aesi, Tyrant of Gyre Strait

Aesi's ability is cumulative with other effects that let you play additional lands, such as the one from Exploration.

A landfall ability triggers whenever a land you control enters for any reason. It triggers whenever you play a land, as well as whenever a spell or ability puts a land onto the battlefield under your control.

A landfall ability doesn't trigger if a permanent already on the battlefield becomes a land.