It could be that my Google engine is worst than yours. This is...

It could be that my Google engine is worst than yours. This is my most recent result for auctions.

https://thewest.com.au/business/mining/albemarle-improves-auction-sale-price-but-lithium-outlook-is-getting-gloomier-as-supply-piles-up-c-14919032.amp

Admittedly, the source is a messenger and may be wrong. It coincides however on the prices obtained late in March.
Could you share your Google results on auctions?

If you are sticking to reality you should avoid forecasting any production cost for LTR. As there is no one available. You are “whatif-ing” that initial costs will be higher than the 10- years average on no fact. And I told you to limit the “whatification” to the first months for which we know some facts, like the piled raw material with no mining opex cost.