Both the Time Capsule and the 8TB USB drive work perfectly,
Just to be clear I assume this means the USB drive works perfectly when plugged directly into your computer?
And the TC works fine as a router and with the 2TB external drive. How big is it's internal drive?
What model and how old is it?
A Mac can read several formats.. a Time Capsule can read effectively one. Mac OS Extended Journaled
https://support.apple.com/en-au/guide/disk-utility/dsku19ed921c/mac
Are you sure the drive is Mac OS extended journaled? That would be the first normal issue we see for drives not appearing.
A time capsule should have no issue with 8TB drive.. but a lot of seagate external USB drives above 4TB use a specially made disk called SMR, it effectively writes tracks over each other.. it is going out of popularity because it causes so many issues.. but Seagate made an awful lot of them that the cheaper external backup drives do use.
https://en.wikipedia.org/wiki/Shingled_magnetic_recording
Avoid like the plague and a plague on the house of seagate for this rubbish.
The last one is grasping at straws a bit.. but depending on your Time Capsule model, the USB 2 port of the TC does have issues with some USB 3 drives.. a USB hub can sometimes help. It is very hard to pinpoint as manufacturers constantly change USB chip suppliers to the cheapest within a single model number drive series. So you end up having some work and some don't. Fine with a computer which has much larger tables of USB chip drivers.. but the poor firmware in the TC is dated and lacking and plain old.
The 8TB is externally powered and I can feel a 'tingle' between the two devices.
This is what happens when devices are not grounded properly. Neither the TC nor the external drive are grounded.. and their respective power supplies can build up static charges. When you plug them together you are getting that static charge.. which can be very large btw.. in fact damaging to electronics large. For lots of items this is no major concern.. but it does not sound good.. I highly recommend returning the Seagate. Or using it differently. Especially if it is SMR type.
This should work !
As a general comment the TC is NOT a NAS and makes no pretension to be be one. It is extremely slow copying files to external USB.. it has no way to back itself up and unless you use a 3rd party backup there is no way Time Machine can backup files on a TC. I do understand the issue with small SSD.. but the TC is at best a poor man's solution which could one day land you in very hot water.