This is the 63rd most frequent Armenian word.
սակայն
However.
The word 'սակայն' is used here to introduce a contrast to the previously stated desire.
Ես ուզում էի մասնակցել, սակայն շատ զբաղված էի:
I wanted to participate, however, I was very busy.
'Սակայն' here connects two contrasting qualities of a single activity.
Ճամփորդելը հետաքրքիր է, սակայն նաև հոգնեցուցիչ:
Traveling is interesting, however, it is also tiring.
Here, 'սակայն' contrasts the character's intention with the obstacle they encountered.