Hello! We've been having it for 2.5 months, we see something like pus …

Hello! We've been having it for 2.5 months, we see something like pus coming out of our eyes, something dirty white, we can't get rid of it, yellow discharge appears? The pediatrician prescribed drops, we will buy them and start using them today. They scared us that if it doesn't go away they will clean the tear ducts, something like an operation ?. I'm already exhausted, what should I do? What is this? Why did it appear? It started after birth.?