Will a capacitor high pass filter interfere with BSC circuit?

[CZ Eddie]

Using a 4 ohm small speaker in a portable speaker build for use outdoors or in very large rooms without nearby walls.
I plan on using a 1000uF capacitor to filter out below 40hz.
But I also want to add a BSC circuit which I designed using one of the online calculators. I designed it to add 6dB which It think is the difference between 2 and 4 pi?

Anyways, will the capacitor filter interfere with the the BSC circuit, or vice-versa, requiring that I adjust values of one or the other?

 

[AndrewT]

small speaker and big space and expecting anything close to 40Hz is a bit like peeing into the wind.
You are wasting your time thinking that BSC solves your lack of bass SPL.

 

[CZ Eddie]

small speaker and big space and expecting anything close to 40Hz is a bit like peeing into the wind.
You are wasting your time thinking that BSC solves your lack of bass SPL.

Thanks, but that's not helpful at all.
The cap is to prevent excursion which will be present regardless of how much bass the speaker is capable of.