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.
Used here, 'omgang' implies 'interaction' or 'dealing with' a situation.
Efter omgang med sygdommen følte hun sig træt.
After dealing with the illness, she felt tired.
In this case, 'omgang' refers to 'association' or 'circle of acquaintances.'