I think that's some way to solving the question then.Yes, one of the three reds is live.
I have separated the three reds -
1 appears to be a perm live
1 seems to feed the rest of the upstairs and 1 seemingly feeds the light on the landing via the downstairs switch.
So basically that's the loop?
Note, this is part deduction, part guess work:
You have a live feed, from the same MCB, upstairs and down, the downstairs one currently just feeding the downstairs light switch.
This, with the link which was allegedly lost, forms one of the strap wires of your two way circuit.
The two wires you have designated "spare" are hopefully the other two strap wires.
Two continuity tests will prove or disprove this theory.
If I'm correct, the lost link should be from the downstairs light live feed into L1 of the two way, the spare black into L2, and the red into C.
As I said, I've not seen it, part deduction, part guess work!