Well since it's a matter of a conflicted tutorial and lab, most of my friends told me that talking it out with the prof usually works. As for a core, might work might not there's no guarantee but a lot of students start rescheduling their schedules by the beginning of Sept when they try the courses out and see how it works with their timetables. So, around that time you might actually get the chance to fix things up. I suggest you check SOLAR more frequently by the start of classes :')
Hope that helps ^-^
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