Outdoor Screen Finishing (Black Stain Recommendation)

Hello,

I am hoping to get some advice / recommendations. I have bought H3 treated baltic pine cladding to build an exterior screen against my deck and fence line. I am looking to stain the cladding black. I want to see the grain and would like a matt finish with a consistent black stain.

There's a product called 'Porter's Palm Beach Black' stain that has the exact look I am after but it's not recommended for treated timber. Does anyone else have any recommendations to achieve this look with a stain for treated timber?

Thanks,
Chris