Those burning marks are from direct fire like from a torch.
I don'y know your soldering torch, thought you can reduce the heat to 40W equivalnet but that clearly seems not possible.
You have several options:
First, get a regular, electric soldering gun with a chisel like tip (not pointed). When pressed onto the surface, the epoxy in contact will break down and you can slowly remove it, like a bulldozer.
Second, use cold to make it brittle. Use cold spray with a fine nozzle and you will get the same results, but must be fast and do it in small steps. The timing factor is what I don't like with cold.
Then there are chemicals, but that is a very nasty thing, sticky and you must use gloves and only do it outside.
Use acetone (as pure as you can get). Educate yourself with its properties before you go that route.
I removed a totally potted unit from its epoxy that way. Used a flat glass container and poured acetone over it and let it sit for a while. The glass container must be covered as acetone evaporates quickly.
Thise MUST be done outside. The epoxy will get soft so that you can slowly shove it/peel it/cut it away.
Dichloromethane is an option too, but that is really scary and dangerous. And though most electronic parts are rated/immune to acetone, they are attacked by Dichloromethane.
Not an issue in your case, just saying.