I've never seen a bike where the cables rubbed the frame.
You do get the cables rubbing somewhat on some frames
Especially headset areas
I wouldn't put tapes around the cable
All that happens is the tape will rub in the frame and tbe same manner
You can get little "balls" that clip to the cables to help with this issue
I got a few from my local halfirds store so I know they do them
I've no idea there proper name and would hate to have to track them online .....I just took bike to the shop
If you want to carry minimal
Start with tubeless tyres
1 or 2 gas canisters
Multi tool ..not a lot else needed
Your mtb inflator may not be sufficient for a rd bike
Mtb pumps supply air at high volume/low pressure
Rd pumps need low volume/high pressure
Good luck with the ride