Ann: Lake and Lilac Announce Achievement of Milestones at Kachi, page-140

What optimisation looks like :
19 September Construction Complete at Kachi
https://lakeresources.com.au/wp-content/uploads/2022/09/lke_kachi_19-sep-22.pdf

2 November - one month plant wet commissioned & producing at spec
https://lakeresources.com.au/wp-content/uploads/2022/11/lke_kachi-product_2-nov-22.pdf

21 November - 600 hours to produce 20,000 L of LiCl
That equates to 33.33 L/h of LiCl
https://lakeresources.com.au/wp-content/uploads/2022/11/lke_kachi-update_21-nov-22.pdf

By the 31 December - 400 hours more to produce another 20,000L of LiCl (1,000 hrs for 40,000L)
That equates to 50 L/h of LiCl
https://lakeresources.com.au/wp-content/uploads/2023/01/lke_critical-milestones_10-jan-23.pdf

33.33 L/h to 50 L/h in a month
And this was under performance test conditions - ie. not taking any undue risk with the process & parameters.
I would anticipate this rate improving as they will have some process engineering voodoo magic things they want to try, but would have been limited whilst proof of operation was underway.