refactor: update to use Learning Core's new public API #56

Job	Run time
collect-and-verify (3.11, pinned)	2m 56s
lms-1(py=3.11,dj=pinned,mongo=7.0)	11m 36s
lms-2(py=3.11,dj=pinned,mongo=7.0)	11m 13s
lms-3(py=3.11,dj=pinned,mongo=7.0)	17m 52s
lms-4(py=3.11,dj=pinned,mongo=7.0)	22m 30s
lms-5(py=3.11,dj=pinned,mongo=7.0)	10m 59s
lms-6(py=3.11,dj=pinned,mongo=7.0)	17m 57s
openedx-1-with-lms(py=3.11,dj=pinned,mongo=7.0)	14m 20s
openedx-2-with-lms(py=3.11,dj=pinned,mongo=7.0)	16m 49s
openedx-1-with-cms(py=3.11,dj=pinned,mongo=7.0)	8m 49s
openedx-2-with-cms(py=3.11,dj=pinned,mongo=7.0)	6m 1s
cms-1(py=3.11,dj=pinned,mongo=7.0)	3m 28s
cms-2(py=3.11,dj=pinned,mongo=7.0)	17m 54s
common-with-lms(py=3.11,dj=pinned,mongo=7.0)	10m 5s
common-with-cms(py=3.11,dj=pinned,mongo=7.0)	4m 48s
xmodule-with-lms(py=3.11,dj=pinned,mongo=7.0)	6m 7s
xmodule-with-cms(py=3.11,dj=pinned,mongo=7.0)	6m 15s
	3h 9m 39s

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