I would never make an unlimited bet, under any circumstances, because there will always be some finite limit to my ability to pay, and the likelihood that I am hallucinating the whole thing is non-zero.

I would never take an adversarial bet which did not offer a punitive didactic utility to my counterparty - otherwise it would do you no good.

Were it not for one factor, I would accept the bet if it were limited to a token amount, say 1 btc, and if you would send no less than 277.78 XMR to that address.
If, as you imply, you can do this with less that 27.77 XMR, you should find the bet, while less exhorbitantly lucrative, perhaps adequately profitable to make proving your point enjoyable.
The one factor that prevents me from accepting those terms:  It is non-trivial to configure the bet so that you can't just fake a win by sending 10 BTC worth of XMR to me.
That would be happy for me in some ways, but such a deception, while unlikely, would pollute the public mind with disinformation.

However, I would happily post 1 BTC of collateral to a mutually agreed arbiter for the naive wager.