The hinge is probably just for keeping the door on, there’ll likely be sliding bolts that actually keep it shut so cutting the hinge probably won’t help. (not always, but it seems like a lot of lock for a safe that lacks that)
When I worked for the bank, the safe company could open pretty much anything- usually it was for a lost key/forgotten combo. Occasionally, they’d send an ex-con and a person whose job was blatantly just to watch the ex-con, it was pretty funny. They got into our massive cash safe after one of the combo locks broke, pretty impressive- went in entirely by destroying and extracting the broken lock without damaging the door at all.
So if I wanted that open and also didn’t want it totally destroyed, I’d call a safe company. It was expensive to get a safe opened intact since it’s suck a rare skill, but way quicker than cutting it open.
Alternatively, just rub it with a bit of gear outer, that stuff will cut through anything in no time.