◪ Jarv
From memory the gate extends across the whole carriageway, if on a bicycle you would have to go onto the pavement (dismounted of course) to get around the gate.
However... as part of the Western Road scheme it is proposed to allow cycles to use this junction (along with Castle street on the other side)

Draft TRO below.
https://www.brighton-hove.gov.uk/sites/default/files/2021-09/TRO-23c-2021%20TM%20Order%20.pdf