I was able to duplicate this same issue with the nuget.exe directly. That is the direct suggested command when I open the package in the feed. However, when I don't specify a version, I was able to pull it down locally.
nuget install Selenium.WebDriver.ChromeDriver -Version 96.0.4664.1800-beta.2 -Source https://--redacted--/nuget/approved-nuget/v3/index.json
Package 'Selenium.WebDriver.ChromeDriver 103.0.5060.5300' is not found in the following primary source(s): --redacted--/nuget/approved-nuget/v3/index.json'. Please verify all your online package sources are available (OR) package id, version are specified correctly.