The manga, published by Kodansha Comics in English, has been moving right along and has twenty-five volumes in Japan with twenty-one volumes published in English so far.
The UQ Holder! manga from Ken Akamatsu began back in 2013 and had an anime adaptation land in 2017, which Sentai Filmworks was involved with.
With monthly serialization, that puts it potentially at February 2022 and with twenty-seven volumes when all is said and done.