It's easy to get lost when downloading the VSCodium installer since there are 80 files listed for the latest release.
https://github.com/VSCodium/vscodium/releases
.sha1 and .sha256 files are hashes, which let you confirm that the downloaded file was the same as the release copy. This is a best practice to maximize security and guarantee the file is not corrupt.
arm7hl, armhf, aarch64, arm64, ia32 are likely for systems that you're not using.
x86_64 and amd64 are modern amd/intel systems.
.zip and .tar.gz files are the source code.
Mac users can download the .dmg file.
Windows users can try:
VSCodium-x64-1.62.2.msi
VSCodiumSetup-x64-1.62.2.exe
VSCodiumUserSetup-x64-1.62.2.exe
Linux users can look for a release for their system or install from source.
I used the amd6.deb file since Mint is a Debian based system.