This is the 10537th most frequent Catalan word.
puig
"Puig" in Catalan means "hill" or "mountain."
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'.
Puig que fa bon temps, anirem d'excursió.
Since the weather is good, we will go on a hike.
Here, 'Puig' is part of a proper noun, in this case a town name.