Trending @Capgemini; Project release

I need help, actually i am in support project where we have to solve incidents/tickets and i am part of 5 project/team and there is shifts like first, second and night shifts(10pm to 7:30am ) and our schedule is not fixed we are not getting continuous shift so routine is not fixed I have almost 10-12 night shifts in one month because of night shift and unusual timing i am facing lot of health issues. I have Asthama since my childhood because of which daily night shift i have to face problems and still have to work without telling anyone. Not getting proper sleep if we want leave we have to give planned leaves one month before otherwise it will not apply so i am not able to take leaves also for rest/break. And daily workload is getting increased because i am part of multiple teams so we have to resolve other groups inc also I want to be released from this project. Please guide me how i can get released easily i have doctor reports, proofs that since childhood i have asthma and all

Also the second reason i am not getting any learnings in this project as it is a support project zero coding just doing repetitive tasks/functional daily now i have almost 2.5yrs+ experience in Capgemini i want to switch but not getting calls, and due to these project i am not able to study also properly that's why i want to come on bench for sometime or in some other project with regular general shift.

Is there any way to get released easily or should i resign in this market condition?