I’d recommend ditching the Longclaw (it doesn’t make that much of a difference anyway) and focusing on staying alive. I seem to recall using the Plasmid, the injector Band, the memory cristal and the Fractured Mask at some point to proceed (it’s been months since I did that fight, sorry my fuzzy memory).
My logic was: you have to stay alive and keep your health maxed out for as long as possible, use silk only to cure and beat the enemies either quickly or without getting too much damage.