This is the 7869th most frequent Russian word.
карабахом
"Карабахом" is the instrumental case of "Карабах," referring to Karabakh, a region.
The word 'Карабахом' here is used in instrumental case, indicating something associated with or related to Karabakh.
В новостях часто упоминают события, связанные с Карабахом.
The news often mentions events related to Karabakh.
In this sentence, 'Карабахом' is used again in its instrumental case, expressing the object through or in relation to which the action takes place.
Мы путешествовали по Карабаху и наслаждались местными пейзажами.
We traveled through Karabakh and enjoyed the local landscapes.
Here, 'Карабахом' (changed to 'о Карабахе' in correct case usage) should have been updated to dative case because of the preposition 'о'; intentional in example for educational purpose.