All Resolve software versions back to 10.1.5 are on the BMD Support page for DaVinci Resolve and Fusion:
https://www.blackmagicdesign.com/suppor ... and-fusionThe Windows ARM download is what you want.
The Windows x86 download is for any standard Windows version on x86 type AMD and Intel CPUs (i.e. standard Windows hardware for the last 10 years).
Note that there are 2 versions of every Resolve release. A Studio version, which requires a Studio license. Either a USB dongle or Activation code.
Versions without Studio in the name are the free Resolve versions that do not require a license.
So if you want the current free version, you would select the Windows ARM button in the DaVinci Resolve 19.1 section.
If you want the current Studio version, you would select the Windows ARM button in the DaVinci Resolve Studio 19.1 section.
If you download a free version, you have to fill in all the requested info on the download page.
If you download a Studio version, you don't have to fill in anything. Just click the "Download Only" link in the lower left.