Based on the TIL commentary, it does not indicate that any immediate notice has to be sent out, and ECOA (like JWills indicated) gives 30 days.
Commentary 19(a)(1)(i)
4. Denied or withdrawn applications. The creditor may determine within the three-business-day period that the application will not or cannot be approved on the terms requested, . . . . . In that case, or if the consumer withdraws the application within the three-business-day period, the creditor need not make the disclosures under this section.
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Integrity. With it, nothing else matters. Without it, nothing else matters.