I'd just grab em with some pliers. Maybe needlenose depending on how small and how the space is.
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Those look like brads to me. They may have been glued brads. I use channel lock pliers to pull them out. The curved jaw gives good leverage.

I think you said pliers weren’t doing the job. Grab them with vice grips (locking pliers) and use the claw side of a hammer to pull them off like a nail.
Pair of linesman pliers or needle nose vise grips a block of something to create leverage and use that lever.
Angle grinder will take care of those in seconds!
I always use end nippers. They look like something a horse farrier would use to trim hooves. They have a round face so you can grab at the base of the nail and rock it back with ease. Nothing I have found beats them for speed and ease of use when you're pulling nails/staples through the back of wood.
If you want to do minimal damage, try backing them out the front side with vice grips like another commenter suggested.

They aren’t at all visible on the front if they are even there. I don’t think they even come through on the front. I’m definitely adding the nippers to my list.

Probably too late but at this point I would suggest just worrying them back and forth or just snip them and then hammer or file em flat. Those look like 18g narrow crown staples to me and any version of pulling them means you have a much higher chance of damaging the board a little.
Needle nose pliers or dykes
Straighten them out. Cut them leaving no less than 1/4". Then hammer them through the other side. Then use your channel locks to pull them out.
I've saved hundreds of sheets of plywood doing this.

Use this type of hammer and pull with claw side.
yea jam the claw in there and pull the hammer to the side, like you are laying it down against the wood surface. the edge of the claw will grip the softer metal when you tilt it sideways, and the handle of the hammer will act as a lever. one time i shit my pants for no reason
If pliers didn't do the job, I would cut them at the base and sand them down to be smooth and flush with the wood.
Knock them backwards/through or grind them off.
brads or finishing staples tend to be set below grade on wood. if you back them out the way they went in, you have about a 100% chance to blow out a chunk of wood on your finished side.
use end nippers, needlenose vice grips, or channel locks to pull them through the rest of the way. the staples/brads are designed to go one direction.
if you're pulling them out of another finished side, you can use a flatbar under your nippers to protect the wood and roll against the flatbar. you could probably use some thick leather or rubber too.
Sometimes the wood closes over them after the last sanding when assembled.
If you don't care about metal in the wood, the you could use a pair of diagonal cutters to snip them flush with the wood rather than try to extract them.
Aren't they nails? If you don't mind leaving them in the wood you can just break down their outside part.
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