Open Birdtray when Thunderbird is opened

[99JoeSoap]

Description
Using Windows 10.

I use Birdtray as an adjunct to Thunderbird rather than vice versa. It would be good if Birdtray could open automatically when Thunderbird is opened and then close when Thunderbird is shut down. There are options to open Thunderbird automatically when Birdtray is loaded etc. but not in the other direction.
Example
User opens Thunderbird, it checks for new mail on opening and Birdtray icon shows if new mail is present rather than user having to specifically open Birdtray.