402 may, instead of proceeding with the claim in accordance with sections 403 (if applicable) and 405 or filing a civil action in accordance with section 408, during the period described in subsection (b)(2) but before the Office commences a formal hearing under section 405, elect to bring the claim for a proceeding before the corresponding Federal agency, under the corresponding direct provision. (3) Election after proceedings initially brought under other civil rights or labor law A Library claimant who initially brings a claim, complaint, or charge under a direct provision for a proceeding before a Federal agency may, prior to requesting a hearing under the agency's procedures, elect to— (A) continue with the agency's procedures and preserve the option (if any) to bring any civil action relating to the claim, complaint, or charge, that is available to the Library claimant