I am confused. In the photo you show capacitor C28. That is a 47uF, 10V electrolytic capacitor. C24 and C27 are on the main board.
Anyway, I always change out C28 on a Beogram 8000/8002 restoration. It is key in the +5 VDC power for the microcomputer IC.
I change it when I am changing out the IC socket as it is much easier to get to when the microcomputer IC is out of the way.
If you just change C28 where it is you could just snip the existing leads and solder on to them. I don't like doing that unless I absolutely have to.
It is tight getting a soldering iron tip in there.
The way the red and blue wires for the tiny board inside the microcomputer box are connected vary.
Here is a Beogram 8000 I restored that had them connected to +5 VDC and ground differently.