Before I hit it hard, I need to know if it is solid and OK to hit hard.
No. It isn't OK to hit it hard. Tapping was fine, a few light smacks and some heat are allowable... but hitting it hard is not. Good on you for asking first.
That end of the stabilizer is a lever. Hitting it may get the pin out, but it will probably just make things worse. It can just bend the flange or the other end of the cylinder where it connects to the tractor.
What most mechanics will do is take a puller, hook the puller claws onto the far side of the flange, and then tighten the puller center bolt so that it presses on the end of the pin. The picture will give you the idea. Pullers can be expensive, but Harbor Freight has hat style for under $20 bucks. Better pullers will have "Tee Bolts" that can be used instead of puller claws. Those bolts can fasten to a plate or something on the far side of the flange. Each time you come up against a stuck gear or shaft it requires ingenuity... and a puller.
You can get a lot more force on the pin by rigging up a puller than by beating on it. And no damage... If that doesn't budge the pin, next step is to repeat while heating the bushing.
You may have to use a torch - or at least a propane/Mapp gas torch - and get that bushing really hot.
BTW, disconnect the hoses to the cylinder before adding heat. And it's not uncommon to use some worm drive hose clamps to hold the puller claws in position.
Good luck,
go slow