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At least these older things use much bigger SMT than is out there today. On my bench for board reworking I keep tweezers, jeweler's screwdrivers, desoldering bulb, and 30 AWG wire for jumpering. Also a bright directional lamp. As I am getting older I should probably get a positionable magnifier also. Also I avoid jitter, like caffeine and stress, before tackling fiddly bits.
Sounds like you found the cause of the problem. Same thing happened with an 8100 I found - it worked fine when I found it. It started to flake and when I took it apart for troubleshooting, parts, caps mostly, started falling off of the video card. I suspect that some of these things can pick up a lot of moisture which causes them to corrode and fail. Bad solder could be an issue also.
At least these older things use much bigger SMT than is out there today. On my bench for board reworking I keep tweezers, jeweler's screwdrivers, desoldering bulb, and 30 AWG wire for jumpering. Also a bright directional lamp. As I am getting older I should probably get a positionable magnifier also. Also I avoid jitter, like caffeine and stress, before tackling fiddly bits.