List of all primates (monkeys): https://en.wikipedia.org/wiki/List_of_primates
This means any previously un-classifed species after 28 July 2023.
When researching before resolving, I came across these articles: https://www.nhm.ac.uk/discover/news/2024/june/worlds-smallest-great-ape-may-have-lived-europe-researchers-claim.html, https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0301002.
TL;DR: A new species of Great Ape (Primate) called "Buronius manfredschmidi" was discovered, but it last lived more than 20 million years ago. The discovery's publication dates fall within the dates for this market.
Because of this, I'm leaning towards resolving YES.
I'm happy to hear any arguments against YES in the comments; otherwise, I'll resolve YES sometime on the 30th, NZ time.
Have you read the articles?
“While the researchers describing Buronius manfredschmidi claim it is a new species, not all scientists are convinced”
“While the researchers are confident that Buronius represents a new species, other scientists believe that naming these fossils might be premature. Among those is Professor Peter Andrews, a scientific associate of the Natural History Museum who was not involved in the research.
“It is great that new fossil ape specimens continue to be found, and comparative samples continue to improve,” Peter says. “It is the way new specimens fit into this known database that takes the subject forward.
“However, as there are very few fossils of Buronius, there is no way of knowing the degree of variability in the size differences and morphological characteristics that have been used to distinguish it from Danuvius and other apes. For this reason, it is not good practice to base a new species on such a limited number of fossils.”
On top of this, the spirit of this question seemed to relate to extant species, the wikipedia article of primates the OP linked to as a source does not list extinct species.
It's not looking good team.
This was the most recent thing I could find, but even that is "near-primates": https://scitechdaily.com/going-where-no-primate-has-gone-before-scientists-identify-new-species-of-near-primates/
There are usually a few each year (see https://en.wikipedia.org/wiki/List_of_primates_described_in_the_2010s, https://en.wikipedia.org/wiki/List_of_primates_described_in_the_2020s), so I guess this is somewhat likely.
Do extinct species count?