Not really sure I’d call this repair work but rather restoration work
but, to remove tapes on coated card like this, light oils have worked well for me in the past, though you have to be careful to use it only on the “silk” coated sections otherwise the bare card will suck it up and of course you should check it’s behaviour on something similar or an inconspicuous area first
You may be tempted to use IPA which is great at thinning/disolving glues but it is also really great at pulling the colour out of these coatings
tbh in this case, even though you could probably remove the tape using the method above I’m not sure what you’d do afterwards and the tear would still be pretty obvious, I mean you could use CA glue on the card afterwards to reattach the the torn section but it would still be obvious, you could then go over with a permanent marker but they have a purple tone when used on black coated card, you could use a black acrylic paint pen but the end results are not smooth or consistent… so in my view it’s probably best to leave it as is atleast it’s honest and shows it’s age