This is the 406th most frequent Danish word.
omgang
"Omgang" means "interaction," "contact," or "round" depending on context.
Here, 'omgang' means a 'round' or 'iteration' of playing the game.
Vi tager en omgang mere af brætspillet.
We will play another round of the board game.
In this case, 'omgang' refers to 'association' or 'circle of acquaintances.'
Han har en bred omgangskreds blandt kolleger.
He has a wide circle of colleagues.
Used here, 'omgang' implies 'interaction' or 'dealing with' a situation.