takedown pin

Sorry if this has been addressed here before, I did a search and couldn’t find anything. Do I need a hammer and punch to get these things out or what? I’m compressing the detente pin and pushing but it’s not going anywhere. What am I doing wrong?

hey I would just like to start out saying that I'm fairly new to guns, this is my first rifle purchase, anyway I took it to the range pretty much the day after I bought it and put like 100-200 rounds through it with some failures, I asked the clerks at the range what could be causing that and...