How are the branched-chain amino acids absorbed by muscle after meal?

My lecture notes states...

More uptake of branched-chain amino acids - leucine, isoleucine and valine-in muscle
in well-fed state. Why?

Also, these branched-chain amino acids mentioned above have 'escaped' from liver
to muscle in well-fed-state. What does this mean?

I mean I wonder why they come from liver in this condition to muscle.
Also muscle has plenty of glucoses already as E source, then, what is the point of
taking these for both protein synthesis (which is understandable) and as E source (which I don't understand)?

Anyone~?

Thank you