It's mining brine. I.e. the "mines" are basically deep water wells.
The limestone itself doesn't have any lithium. It's the water in the pores in the limestone that is relatively concentrated in lithium.
In most of these cases, you're already producing brines from the smackover formation as a part of existing oil and gas production, but the brine is being re-injecting after oil is separated from it. The idea is that it's better to keep those and evaporate them down for lithium production.
That does require large evaporation ponds, generally speaking, but it's not strip mining.