I was having the same problem, and I did not see "UPDATE" on the chrome browser either, but when I left clicked on the three vertical dots at the upper right, then HELP, then ABOUT GOOGLE CHROME, I noticed that where the version should be, a message said to restart CHROME to finish updates. After doing so, the radar works fine. I had already tried closing CHROME and restarting and it did not work before, so maybe looking at the ABOUT info triggered something.
My info after Chrome update...
WINDOWS
Edition Windows 10 Pro
Version 21H1
Installed on 11/17/2020
OS build 19043.1889
Experience Windows Feature Experience Pack 120.2212.4180.0
CHROME
Chrome is up to date
Version 105.0.5195.102 (Official Build) (64-bit)