Trying to install jdk 21. But it says already on the newest
My absolute TERRIBLE experience with Ubuntu 24 so far
Videos
Interim Ubuntu releases as 23.10 Mantic Minotaur may include or make as available unstable or non-LTS packages as jdk-22. That openjdk-22 for Noble Numbat for arm64 you link was present by the time Noble was in development stage, but later rebuilt(due to xz utils security issue) and finally deleted. So security concerns and mainly not being an LTS release were the reasons to exclude it from being in 24.04.
LTS releases as 24.04 Noble Numbat tend to include just stable, LTS, secure packages. That is why, if you search for 'openjdk' in Noble, you just find openjdk-8/11/17/21, which are all LTS releases. Currently, apt only offers openjdk-22 for Mantic and Oracular(future interim release), but it is not officially available for Noble: https://launchpad.net/ubuntu/+source/openjdk-22
Anyways, if previous mentioned and available LTS releases don't serve and you only want jdk-22 you can always get it and use it from a third-party as the other comments told you: Oracle's, Openjdk's builds, Azul's...It's up to you.
Maybe because it has such a short shelf-life: ends in September. https://download.oracle.com/java/22/latest/jdk-22_linux-x64_bin.deb