Can't identify latest launcher for NixOS

I run NixOS on Linux amd64, and Minecraft stopped working at version 1.19,  crashing at startup, ostensibly as per bug MC-254297. Thus I need to upgrade the Minecraft Launcher from version 2.2.1441 as currently installed by NixOS to whichever is the latest. Unhappily, NixOS needs the exact URL of the latest of said latest version to download it, and there seems to be no easy way to identify that URL.

Could you:

1. Tell me what is the URL of the latest launcher? The one used by NixOS is: https://launcher.mojang.com/download/linux/x86_64/minecraft-launcher_2.2.1441.tar.gz but replacing that version by 2.3.394 doesn't work.
2. Document how to programmatically locate the latest version so updating the launcher isn't quite as excruciatingly hard next time over?