Although you have to wait for the registration to be approved before you can bring a suit in federal court, it looks like you would get the full benefits of registration.
Once the registration is approved, the effective date of copyright registration is not the date of approval but
the day on which an application, deposit, and fee, which are later determined by the Register of Copyrights or by a court of competent jurisdiction to be acceptable for registration, have all been received in the Copyright Office.
(17 U.S. Code § 410. Registration of claim and issuance of certificate)
This date appears on the certificate.
In the scenario described in the question, the application was submitted on November 1, 2023 and so the effective date of registration will presumably be earlier than three months after publication or 1 month after the copyright owner has learned of the infringement. It is therefore possible to pursue statutory damages and attorney's fees.
In any action under this title, other than an action brought for a violation of the rights of the author under section 106A(a), an action for infringement of the copyright of a work that has been preregistered under section 408(f) before the commencement of the infringement and that has an effective date of registration not later than the earlier of 3 months after the first publication of the work or 1 month after the copyright owner has learned of the infringement, or an action instituted under section 411(c), no award of statutory damages or of attorney’s fees, as provided by sections 504 and 505, shall be made for—
(1) any infringement of copyright in an unpublished work commenced before the effective date of its registration; or
(2) any infringement of copyright commenced after first publication of the work and before the effective date of its registration, unless such registration is made within three months after the first publication of the work.
(17 U.S. Code § 412 - Registration as prerequisite to certain remedies for infringement)