First I would get a plastic dead blow mallet and try whacking the FSB with it to release the detent pin... I would also try
lightly tapping the detent pin with a punch to see if it will release whatever is holding it back - there is probably a burr in the detent pin channel that it's stuck on. Then if that doesn't work, proceed to pushing the pin.
If you cannot get the pin to budge with a punch and if you do not have a press the next best option is a bench vise. Here is how I have done it: you will need a small socket set, small brass washers, and a socket driven allen head or hex head set. Stack the washers on one side of the FSB so that the pin will pass through the hole in the center of the washer. You may need to cut off part of the washer to get the washer stack to fit flush against the flat side of the FSB once placed in the vise. Then place the socketed allen/hex head on the other side against the face of the pin to use as a push pin. Carefully tighten the vise until all components are square, then slowly tighten. The vise should push the pin out easily and smoothly.
Wear eye protectionOnce you have pushed the pin out far enough that it contacts the other side of the vise, you can swap the washers out for a socket - just make sure the socket is long enough to "catch" the pin, and place a brass washer between the socket and the FSB so that the finish is not damaged. Brass is very soft and will deform before the metal ever does
Trick works for small and big pins alike.