Cheap Chinese tool store as in temu? I'll follow both your advice and smack it the other way. Any advise on actually removing the pin though? I've given it a couple of good smacks with the punch and no movement at all. Maybe the pin is bent with the frame?...
Welton, don't get upset.
There is a right way and a wrong way to remove those pins.
The metal used in that trigger system is quite malleable and will bend easily.
You will need to take it all apart to be able to "tap" things back to the shape they're supposed to be.
Also, you may have damaged the edges of the pin/holes by "peening" them, and they can't be driven out easily.
This means you may need a grinder, such as a Dremel to remove the peened sections, which are likely only a few thousandths of an inch thick.
Then you will have to find a way to support "both" sides while punching out the holes with a proper size punch.
Princess Auto punches are usually garbage, as they are often quite soft and will bend easily on pins which are tight in the holes. They're fine for most things, but difficult situations require much higher quality punches.
Those pins shouldn't require much to remove them, unless the springs are still in place or they've been damaged in the past, before you owned the rifle.
My suggestion is to make a "block" to fit between the walls of the mechanism on both sides of the pin you want to punch, before you start.
If you have access to one, get a Hockey Puck. Canadian Tire has them for a Toonie. Drill a hole in it appx 3/8-1/2 inch wide and about 2/3 of the way through.
Place the trigger mechanism on its side, with the pin positioned above the hole. Insert the blocks, and carefully punch out the pin, with a punch that's smaller than the pin. If the punch is bigger or even the same size, it will just get stuck and damage the holes as well as the end of the pin.
If you don't have the tools for this, find a mento who does, or take it to a smith.