Cool it down to freezer temperatures and see if it works. Heat it up to ~60C and see if it works. This applies to both hard drives and SSD's.

A good half of "failed" drives can be made to work for at least a few hours longer with that method.

Unlike OP, If you see signs of life, don't mess with clamps or reflowing. Just leave it in the freezer/oven while you take data off it, with longish power/sata cables to a machine just outside the freezer/oven door.

I recommend GNU ddrescue for getting data off - when you only have a few hours of service life left till it is dead-dead, it maximizes data recovery in a given time. There are various ways to generate a mapfile to skip recovering free blocks, which are worth using if you suspect the drive is mostly empty.