How to adjust daylight saving with Cron Scheduler

Question

I was using Simple schedulers and I had a problem that for example I had a job which was executing once in a day at 13:00 , but when daylight saving was emerging it was executed at 14:00, but I wanted it to be executed exactly at 13:00. I researched and saw that I could set timezone to cronScheduler and it should solve the problem, then I modified code and now I have

trigger = (CronTrigger) TriggerBuilder.newTrigger()
        .withIdentity(key, group)
        .startAt(startTime)
        .withSchedule(schedBuilder.withMisfireHandlingInstructionFireAndProceed()
                .inTimeZone(TimeZone.getTimeZone(timeZone)))
        .forJob(jobDetail.getKey().getName(), jobDetail.getKey().getGroup())
        .build();

where I am setting timezone for example Europe/Berlin and CronExpression something like this 0 0 13 * * ? * but when time changes due to daylight saving I am getting same behavior and trigger is exeuted at 14:00:00 instead of 13:00:00. Am I still missing something or what is the issue? What is the possible solution to fix this issue ? If this timezone of CronTrigger does not have any effect, what is the reason to have(set) it ?

I was expected something like this if I set Europe/Berlin timezone and 0 0 13 * * ? * expression it should be run exactly at 13:00:00 for Berlin time and same for any other timezones.