OOOOooo an action for digorgement of profits, my favourite action
There's no trust here dude, he doesn't need to know anything about trusts
You simply need to have a fairly basic knowledge of what the requirements for this action are, which it sounds like you do. Essentially, you need to show very good reasons for the granting of such a remedy (such that the conscience of the defendant is bound? the precise basis for the action isn't totally clear - though I think that the basis is, indeed, the conscience of the defendant rather than the damage suffered by the claimant)
The point is that this is a very new area of law, and the cases are not totally consistent in their approach. Particularly as the moot is in the Court of Appeal, there is a lot of scope for you to make policy arguments as to how/wide narrow the action should be.
I have my doubts about whether a simple breach of contract counts. See Argyll Stores, a breach of contract is not in of itself a bad thing. Sometimes a breach of contract is a necessary fact of commercial life. I think these cases on damages generally are nearly as important as the cases specifically on disgorgement for your purposes. There is nothing inherently inequitable about a company breaching a contract, its how the world works. There's nothing unfair about a commercial enterprise seeking to make a profit, indeed its economically desirable. A company must be expected to breach contracts if it would allow them to get more money than the damages they would usually have to pay. The only reason for imposing an action for disgorgement here would be, essentially, that the company breached the contract in order to make a larger profit: this is not in of itself a bad thing and is in fact to be desired.
This case is therefore well outside Blake and following cases, and would be an extension to simple breaches of contract that should be resisted: its sometimes desirable that contracts are breached in commerce, as is the case here if someone needed the mahogany so badly they wanted to pay 6k for it.