My blackheads have already existed even before I started using the regimen and I can never stand the blackheads! Each time they get worst, I'd use a pore strip or my mask to remove the blackheads. But I believe if I were to use the mask while I'm using the regimen, it'll irritate won't it 
are there any ways to remove them while on the regimen? Or do I stick with my mask? Cheers!
Don't introduce any additional products in the early months of following the regimen. Just let the products do their job of clearing your acne, and let time do its job of allowing your skin to adjust to BP. Once you are fully adjusted to BP (eg no longer red and irritated but just dry), you can introduce AHA (or something similar). AHA totally cleared up any blocked pores I had.
Be patient and you won't regret it. Good luck! 