Interviewing for a senior-level, customer-facing position at a large tech company this week. Looking for advice on attire

Their website and interview documents say - several times - to dress business casual. I was planning on wearing a black suit (pencil skirt with a suit jacket) like I always do for interviews, but I don't want to seem like I won't fit in with their culture. Should I lose the suit coat and just wear a nice button-down shirt instead? The only reason I'm still contemplating a suit is because this role requires the person to be on-site with customers and I want to seem professional. However, my suit is very dressy-looking and I don't want to seem out of place. Any advice would be appreciated!

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