What kind of mortgage rate could I get?

I know the average interest rate for a mortgage loan is around 6%, but what kind of rate could I get with excellent credit?
I am looking into taking out a mortgage for a $ 250,000 house, and my credit score is in the high 700’s, with a spotless credit history.
What kind of interest rate should I be able to obtain? Is 6% pretty much the standard rate, regardless of credit?
I’m looking for answers from someone who works in financing/loans, or someone with excellent credit who has a mortgage.

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