Thanks for posting your query.
The pus discharging point is either an infected cyst
or more likely an infected sebaceous gland
that has become ectatic and gets stacked with it cheesy secretion which gets infected and collects inside.
It is called a sinus
You should go to a surgeon/dermatologist
of your locality who would open up it's top so that secretions do not get packed and infected.
I hope this answers your query.
In case you have any follow up queries or doubts, you can forward them for me, and I shall be glad to help you.
Please accept my answer in case you do not have further queries.
Wishing you good health.