https://www.epa.gov/radiation/radiation-basics#:~:text=Gamma....
https://www.epa.gov/radiation/radiation-basics#:~:text=Gamma....
But would using redundant systems separated in space connected with each other not offset the chance that they all would be affected at the same time? This is actually not rocket science .. just hard engineering and hardware/software design for redundant systems which is also usable on the ground.
(Though likely not of course ;)
https://www.wolframalpha.com/input?i=+lead+cube+with+side+le...
So something might be off with your assumption of 1500 usd / kg.
I can't decide if I'm joking or not.
Maybe you could improve the system availability considerably by a bit of gamma radiation protection combined with some more parallelism of the components ..
A second layer blockage for the secondary particles wouldn't have to be as dense or am I missing important physics?
(I guess a lot of gamma radiation would still reach this second layer so please ignore my question :)