I would say a comma is good. A semicolon needs more meaning to the sentence, like a reason or explanation or something - but your sentence is simple. :)

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I agree with Daniel about the comma. A semicolon could work to, if you change "as" to "that" so that the part after the semicolon is a full clause (subject "that" plus verb "is") rather than just a fragment without a subject. A semicolon (in my experience/opinion) needs to have full clauses on both sides of it, just like a period does.

You would use a semicolon. You write a full sentence then you add a note about that sentence. The note you use is a different thought, if you want to think of it that way. https://writing.wisc.edu/Handbook/Semicolons.html

I personally would because you are speaking about two different objectives in one sentence. The first being the House. The 2nd being your culture. Tho I've been prone to make mistakes with commas too, but I think I am right on this one.