Also, the cable I spliced had 12v showing on my voltmeter before I joined it to the dashcam, now there is no voltage. This is why I think it is a blown fuse or relay?
Do you know which wire you cut in the harness? Where was the wire leading to? Which switch?
The system for the CAN bus has a 12 volt carrier. Finding a voltage means little unless you know which circuit you affected. You can find wiring and relay information on the Russian manuals web site at the following URL:
[W/M] Eclipse Cross (GK#)
In the top left corner is a drop down menu which gives access to:
Technical Information Manual
Body Repair Manual
These are taken from the official Mitsubishi manual series for the EC. They cover both RHD and LHD versions of the vehicle. Have a look at the Workshop Manual which has wiring diagrams and circuit data. You will need to know what circuit you cut into for this to be of any use though.
A wire that is part of the 12v supply to relays and starters is vastly different to that of the CAN bus. If you have cut into the CAN bus you may have caused an issue with the ECU on that circuit that requires a reset of the ECU to get it back into operation. You may have caused an over voltage event which has fried the ECU on the circuit. Anything is possible. This may be something only the dealer service staff can do.
Lastly, is the polarity of the wire you cut correct? If it is a two wire cable (positive and negative or active and neutral) the two wires must be rejoined with the correct polarity especially if its is a two wire cable of the CAN bus. If the wires have markings ensure the wires with the same markings are joined. If there are no markings then it's trial and error.
Pics of the rough location of the spliced cable and pics of the cable would assist in understanding where you accessed the power...