Cable is going to cost between £500 and £600 not including installation as its 60m length.
Better to cut but it will be checked with a insulation resistance tester by a professional.
You mentioned earlier that "There are signs of damage which have been fixed"..
Also mentioned that "MCB was already replaced and it did not fix the issue. Not a faulty MCB."
If you have had repeated tripping of a 32A MCB, this indicates a serious Live to Neutral or Live to Earth fault.. (as we are not talking about small earth leakage detected by RCD's).
And the MCB was working correctly because it was tripping, when a fault current was detected. So no point replacing any MCB's until the fault has been identified and fixed..
Fitting a replacement MCB is about as useful as using a different tap if trying to fix a leaking garden hose. The hose needs to be fixed not the tap replaced.
And repeated short circuit faults can cause greater damage to the cable itself,
Dead short Live to Earth or Neutral between a pair of 16mm conductors can give faults currents of several hundred amps, causing significant arcing, sparking, welding etc. between conductors, plus associated heat effects on the cable insulation.
They can also over stress and damage the inner workings of the MCB itself.
What was the damage you previously identified and how was it fixed.?
I am assuming the outer sheath has been damaged...
allowing possible damp ingress, which may have crept along the cores of the steel armour introducing corrosion..
Also If the cable has had any significant impact damage,
the inner cores may have physical damage to their insulation.
I think you could end up running yourself around in circles trying to do a cut & paste fix a bit here, fix a bit there. But still end up with later tripping problems
It also could be wise to shop around on your cable suppliers with those quoted supply only costs.. And.. do you really need a 3core? why not 2core & TT the shed?
A quick google for 60m 2core 16mm SWA, has returned three suppliers at... £360, £380 or £420 inc VAT.