This is the 10537th most frequent Catalan word.
puig
"Puig" in Catalan means "hill" or "mountain."
Here, 'Puig' is part of a proper noun, in this case a town name.
El nom de la ciutat és Puigcerdà, famosa pel seu llac.
The town's name is Puigcerdà, famous for its lake.
Here, 'puig' means 'hill' and refers to a geographical feature.
El camí fins al puig era llarg, però valia la pena la vista.
The path to the hill was long, but the view was worth it.
In this case, 'puig' is used in an archaic or poetic sense meaning 'since' or 'because'.