This has already been provided. Reading comprehension is fundamental. You have 2 separate sets of letters. One series describing 4 voyages and one describing 2. The latter are private and certainly written by Amerigo to the Medici and describe the 2 voyages that have sources outside of the letters. The other set of letters describe 4 voyages including the alleged 1497 voyage. However that voyage is not mentioned in tbe private letters to the Medici and has no other source. It also contains faulty geography and nautical miles that would put Amerigo in the Pacific Ocean. Thus why those letters are considered forgeries. The two sets of letters cant both be true and the set with 2 voyages has better provenance, descriptions of geography and nautucal calculations that actually make sense. So at this point you are being obtuse.
Early accounts of Vespucci’s voyages, now believed to have been forgeries, had quickly spread throughout Europe. In 1507, using these letters as his guide, a German cartographer created a new map, naming the territory now known as South America in Vespucci’s honor. For the first time, the word “America” was in print.
The period during which Vespucci made his voyages falls between 1497 and 1504. Two series of documents on his voyages are extant. The first series consists of a letter in the name of Vespucci dated from Lisbon, Portugal, September 4, 1504, written in Italian, perhaps to the gonfalonier (magistrate of a medieval Italian republic) Piero Soderini, and printed in Florence in 1505; and of two Latin versions of this letter, printed under the titles of “Quattuor Americi navigationes” and “Mundus Novus,” or “Epistola Alberici de Novo Mundo.” The second series consists of three private letters addressed to the Medici. In the first series of documents, four voyages by Vespucci are mentioned; in the second, only two. Until the 1930s the documents of the first series were considered from the point of view of the order of the four voyages. According to a theory of Alberto Magnaghi, on the contrary, these documents are to be regarded as the result of skillful manipulations, and the sole authentic papers would be the private letters, so that the verified voyages would be reduced to two. The question is fundamental for the evaluation of Vespucci’s work and has given rise to fierce controversy; attempts to reconcile the two series of documents cannot generally be considered successful.