refactor: update to use Learning Core's new public API #16

Job	Run time
collect-and-verify (3.11, pinned)	3m 7s
lms-1(py=3.11,dj=pinned,mongo=7.0)	11m 33s
lms-2(py=3.11,dj=pinned,mongo=7.0)	11m 19s
lms-3(py=3.11,dj=pinned,mongo=7.0)	17m 22s
lms-4(py=3.11,dj=pinned,mongo=7.0)	22m 40s
lms-5(py=3.11,dj=pinned,mongo=7.0)	10m 44s
lms-6(py=3.11,dj=pinned,mongo=7.0)	17m 13s
openedx-1-with-lms(py=3.11,dj=pinned,mongo=7.0)	14m 18s
openedx-2-with-lms(py=3.11,dj=pinned,mongo=7.0)	16m 46s
openedx-1-with-cms(py=3.11,dj=pinned,mongo=7.0)	8m 58s
openedx-2-with-cms(py=3.11,dj=pinned,mongo=7.0)	5m 43s
cms-1(py=3.11,dj=pinned,mongo=7.0)	3m 49s
cms-2(py=3.11,dj=pinned,mongo=7.0)	17m 17s
common-with-lms(py=3.11,dj=pinned,mongo=7.0)	10m 14s
common-with-cms(py=3.11,dj=pinned,mongo=7.0)	4m 40s
xmodule-with-lms(py=3.11,dj=pinned,mongo=7.0)	6m 6s
xmodule-with-cms(py=3.11,dj=pinned,mongo=7.0)	5m 59s
	3h 7m 48s

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