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Sapindaceae family

Cupania americana
Linnaeus
, Sp. Pl. 1: 200.  1753.

Indigenous rare tree of semi-evergreen seasonal forest, especially by rivers'
Guadeloupe, La Désirade, Dominica, Martinique, St. Lucia, Barbados, Greater Antilles, South America.
Cupania triquetra is also listed for Saint Lucia in FLA. I suspect it is not here; young fruits of C. americana are  triquetrous (three-sided) but become more rounded as they mature.