That girl drinking beer with courage will be game (4,3,6)
I believe the answer is:
spin the bottle
'game' is the definition.
(spin the bottle is a kind of game)
'that girl drinking beer with courage' is the wordplay.
'that girl' becomes 'she' (I've seen this in another clue).
'drinking' is an insertion indicator.
'beer' becomes 'pint' (beer is typically served by the pint).
'with' means one lot of letters go next to another.
'courage' becomes 'bottle' (bottle can mean courage).
'she' going around 'pint' is 'spinthe'.
'spinthe'+'bottle'='SPIN-THE-BOTTLE'
'will be' is the link.
(Other definitions for spin the bottle that I've seen before include "party game" , "drinking game" , "daring game" .)