Without removing the chip ( and I REALLY don’t suggest trying that!! ) I would suspect that things are probably ok with the chip, but do of course photograph the other side as well. Electrons care not a jot about physical orientation and will just flow down any path that they can, which is why this sort of fault finding can be a bit of a pain. What does the multimeter across the the edge connectors pin’s 2 & 39 report? If that’s a dead short then the problem is on the board, if not then the problem is elsewhere. You could also make the same check with the multimeter on pins 9 and 10 which are the 0V & +5v supply to the chip, but of course if there is a short all these points will be connected.
IT’s worth going round the chip and see if there are shorts between any of the pins. IN some cases (16 & 17) there will be shorts but the schematic should indicate this.
Once you know the fault is or is not on a particular sub component ( a board for instance) then a magnifying glass and following the track carefully often reveals a problem.
There are some impressive mechanisms for fault finding issues but these are tools for the professional. I’ve seen thermal cameras used to do this sort of thing and if one has two hundred boards o check a day those are godsends, but we are not in that world.
Jofe operates a very generous approach to this sort of thing, but it’s wise to actually tie the fault down to the component to avoid perfectly good devices cluttering up the postal system with all the joyous expectation and disappointment that can involve.
As I said electrons don’t care so be as suspicious of edge connectors and ribbon cables as of components and boards. Make ABSOLUTELY sure you have the connectors the correct way round and ensure that you haven’t managed to bend a pin or offset the connector by one pin or only connected on one row of the edge connector. One frequently makes assumptions about which pin is 1 and which row is which and these can be particularly insidious faults. Just because it looks like that is the correct orientation, doesn’t necessarily mean it is. Check with photos of working units…
I have done all of these at some time and lost many an afternoon, to an increasing belief that some vicious electronic Demi-God has got it in for me personally. REmember even @riban has done this ("Even I have done it (more than once) !!!) " and he is worshiped like a god by many of the ill dressed natives of the Essex hinterland…
You do at least have the reassurance that the design is sound and it works. When you design stuff yourself you are also fighting the fact that the whole idea might be faulty, and that is a real learning experience !!
Modern electronic components are generally pretty rugged. I once soldered a CA3130 in a sample and hold circuit the wrong way round, I misread the schematic, and as a result it got HOT!! hot enough to burn it’s lettering into my finger in reverse when I touched it. IT still worked once I corrected the mistake which was rather good because the chip had cost me my entire pocket money that week to buy. ( I was 15 ) …
Keep going. You will learn far more from this than if it all works first time.