Don't tap on the front surface!
Usually, pried up side plate seam edges are "upset'. Meaning the metal is bulged up at the seams. Fixing them generally involves flattening the upset bulges w/o removing metal, by pressing the high spots with a flat polished piece of harder metal called a "dolly". I use a polished small chisel bottom surface or other similar machined tool surface as a "dolly".
Lay the sideplate face down on the "dolly": perfectly clean, smooth, hard, and flat surface and tap on the BACK SIDE of the side plate. But don't use the hammer surface. Use a punch with flat, polished tip and tap on the punch with the hammer.
The side plate can be squeezed against the dolly in a vice. Or the dolly can be laid flat on the side plate and tapped on the backside of the "upset" side plate edges to flatten the front side as described above.
A LOT LESS work than fitting an oddball replacement side plate, and at no cost and with better final fit results.