in section 402 may, instead of proceeding with the claim in accordance with section 405 or filing a civil action in accordance with section 408, during the period described in subsection (b)(3) but before the Office commences a 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) bring any civil action relating to the claim, complaint, or charge, that is available to the Library claimant