Cycle lanes attached to left turn lanes- dangerous?

Doing planning of a route I have noticed a recently built cycle lane attached to the left of a car lane that is now left turn only (used to be left or straight ahead). At the junction the cycle lane disappears just for the width of the road that all traffic in the left turn lane turns left into then continues straight on for cyclists going straight ahead.
Is using this cycle lane to cycle straight ahead just asking for trouble as drivers may assume left turn rule applies to the cyclist too (even though the lane itself doesn't extend left) and am I v likely to get swiped? Is the best option to come out Of the cycle lane early to stop any cars overtaking then only rejoin it once the left turn lane has disappeared?
Is using this cycle lane to cycle straight ahead just asking for trouble as drivers may assume left turn rule applies to the cyclist too (even though the lane itself doesn't extend left) and am I v likely to get swiped? Is the best option to come out Of the cycle lane early to stop any cars overtaking then only rejoin it once the left turn lane has disappeared?
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That's what I would usually do but my concern would be if both me and a car behind me are moving and the car doesn't need to think about overtaking me because I'm in a separate lane, the car may not realise that we are on a collision course through it left turning until the last minute
Unforutnately a lot of councils provide similar cyclepaths - making the cyclist second class road user - which is why I tend not to use the cyclepaths