The Nicaragua 5 centavos 1898 does not say "Republica", it says "Estado", because Nicaragua was a member state of the Greater Republic of Central America.
The Greater Republic of Central America was a union of Honduras, Nicaragua and El Salvador, that lasted from September 15, 1896 until November 21, 1898, when the Salvadoran government was overthrown by a general. The Greater Republic did establish diplomatic relations with the United States.
Can this at least be explained in the Numista catalog listing?
(It can also be argued that Nicaragua is not the correct country for this listing.)
https://en.numista.com/catalogue/pieces75622.html