T-Mobile has now started rolling out the November 2019 security patch to the Galaxy Note 10 and Note 10+. It also includes the security patch for the fingerprint recognition.
The software version of this update is N970USQS2ASJ8 and N975USQS2ASJ8 for the Galaxy Note 10 and Note 10+ respectively. The size of this update is more than 200MB.
If you want to check for the update manually, just head into the Settings > Software update > Download and install.