Using exclusively Safari, visit the How to get old versions of macOS - Apple Support site, verify that your Mac meets the hardware requirements for the version of macOS that you want, and then follow the link to the Mac App Store for the full downloadable installer. It wil be placed in your /Applications folder and may launch in preparation of the installation. Just quit it if it does that.
Then follow the instructions that you already have for creating a bootable installer on a 16GB USB stick.
One caveat is that if the version of macOS you attempt to obtain from the Mac App Store is older than what shipped originally on your Mac, it will not download. And, if your Mac is capable of running a newer version of macOS, the Mac App Store may block you from downloading that version of macOS unless you are on older Mac hardware.