Esri provides multiple editions. You will see:
Click the desired language. You will then see two download options: download arcgis desktop 10.8.2
Select the 64-bit Background Geoprocessing component if you plan to perform heavy analysis (this allows certain tools to run outside the 32-bit ArcMap process). Esri provides multiple editions
If you are struggling to find a legitimate download or your organization has moved on, consider these alternatives: Click the desired language
You cannot just "download ArcGIS 10.8.2" like a free Spotify app. You need a license.