Oops, I needed to step back from the problem a bit.
The issue is that Google always replaces the same URL with the latest copy of their download, so…this batch script was a bit of overkill. We can have BESDownloadCacher just try that URL directly.
64-bit version:
BESDownloadCacher.exe -u https://dl.google.com/tag/s/appguid%3D%7B8A69D345-D564-463C-AFF1-A69D9E530F96%7D%26iid%3D%7B03FE9563-80F9-119F-DA3D-72FBBB94BC26%7D%26lang%3Den%26browser%3D4%26usagestats%3D0%26appname%3DGoogle%2520Chrome%26needsadmin%3Dprefers%26ap%3Dx64-stable%26brand=GCEA/dl/chrome/install/googlechromestandaloneenterprise64.msi
32-bit version:
BESDownloadCacher.exe -u https://dl.google.com/tag/s/appguid%3D%7B8A69D345-D564-463C-AFF1-A69D9E530F96%7D%26iid%3D%7B03FE9563-80F9-119F-DA3D-72FBBB94BC26%7D%26lang%3Den%26browser%3D4%26usagestats%3D0%26appname%3DGoogle%2520Chrome%26needsadmin%3Dprefers%26ap%3Dx64-stable%26brand=GCEA/dl/chrome/install/googlechromestandaloneenterprise.msi
When run on the root server, BESDownloadCacher automatically renames the file to match its sha1, and puts in the download cache at wwwrootbes/bfmirror/downloads/sha1