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I fucking hate the bridge st / westminster bridge / victoria embankment junction
I suffer similarly on the Westminster Bridge / Parliament Sq / Abingdon St phasing. I won't RLJ, but depending on the light phasing I'll either stay in the bike lane (if it's going to be green soon) or I'll hop over the dividing barrier to where the cars are and use their green phase to turn onto Parliament Sq. Some drivers beep, but ICNGAF.
Similar along Chelsea Embankment at Albert Bridge. If the traffic is backed up (it usually is at 6pm) or I see the lights ahead are on green then they're usually red by the time I get there, so I nip onto the shared use pavement (NCN4) by the end of Royal Hospital Road and bypass the junction completely, rejoining the road opposite the Sir Thomas More statue.
I fucking hate the bridge st / westminster bridge / victoria embankment junction. There are lots of options now for getting on a bike from parliament square to victoria embankment eastbound on superhighway but they are all shit. The 'correct' one, i.e. waiting a fucking ridiculous amount of time at three sets of lights on the superhighway which are always red and then still having to contend with people still crossing and looking the wrong way / catching Jigglypuff when it's your turn winds me up. Fuck's sake/10.