Yes, your understanding is correct. It is a shame that your HSA custodian will not calculate the earnings; they are required to. I would consider getting a more user friendly HSA custodian, unless you are using this custodian because it's convenient for your employer.
Note that the 1099-SA for the earnings on the excess HSA contribution might not get to you until early 2025, but it will be during tax season for your 2025 return. Note that many HSA custodians make these forms available on their website.
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