mutt and gmail - "muting" threads

[stuart]

I use mutt to read and write emails via a gmail account.

I have set up mutt so that I can move mails to the Starred directory
using a couple of keystrokes. If I go into gmail via a web browser these
mails appear with a star beside them.

One of the facilities gmail has that I like is the ability to "mute"
threads. To mute a thread in the web browser it's necessary only to
press the m key while viewing the mail and that thread no longer appears
in the inbox, it goes straight to "All mail".

I'd like to be able to mute threads with mutt, but haven't found a way
to do it.

There is no "Muted" directory among the gmail directories to which to
assign emails. I have searched some muted mails including their entire
headers to find a clue to how gmail flags threads as muted, but can't
work out how it's done. And I've searched the 'net for clues, advice or
instructions, but can find none.

So, I'm here now to ask: can anyone out there tell me how I can flag
threads muted with mutt?

TIA.

Stuart