This is the 216th most frequent Catalan word.
pugui
"Pugui" is the third-person singular present subjunctive form of the verb "poder," meaning "can" or "may."
Here, 'pugueu' (related to 'pugui') is in the subjunctive mood to express a conditional or hypothetical action related to effort.
Feu la feina tan bé com pugueu.
Do the work as well as you can.
In this case, a related form 'pogués' shows usage in a past subjunctive conditional expressing a hypothetical scenario.
Si pogués, ajudaria més gent.
If I could, I would help more people.
Here, 'pugui' is used in the subjunctive mood of 'poder' to express uncertainty regarding the ability to attend.