It should download the ...64 image (I assume), but the install-script addresses the 32-bit version. After bypassing these problems Lunar launcher comes up, but Java fails to start.

Java 16 and 17 use 64-bit systems, making Minecraft running on 32-bit systems impossible. Technically, running Minecraft would be possible even with all the new and complex features.

Most Minecraft players need not worry because, at this point, a 64-bit operating system is standard, especially for Windows and MacOS users.

Most people don't install the 64-bit JRE, Dinnerbone said, because it's hard to find unless you know where to look. The 32-bit installer is the default. What's more, a lot of people can't be bothered ...

Many such creations have spawned in the decade since the first Minecraft-built ALU surfaced, and [Rockfarmor] built a 64-bit specimen to add to that list — and made a video to showcase it.

The new Minecraft update is almost here, but according to its preview version, the game will drop support for 32-bit operating systems.

If you want to download Java 64-bit or 32-bit on your Windows 11 or Windows 10 computer then follow the method mentioned here.