Currently have Version 101.0.1210.32 (Official build) (64-bit) but issue was same before this update.
When starting browser the Lastpass square icon remains black for anywhere between 15 - 45 minutes before it then turns red, it then sticks at red for another 5 - 15 minutes before actually turning yellow and recognising the page that I am trying to log into.
I've reinstalled the extension, cleared cache cookies etc, updated the browser but its the same for a while now.
If I want to log into a site quickly I visit Lastpass website and log in that way, copying and pasting the details stored in the vault, its much faster than waiting for the extension to work. Even when it has logged in and turned black>red>yellow sometimes even then it will not auto fill the login details for some time after leaving and coming back.