fix: Remove more occurences of `model_id` (#629) #3669

Job	Run time
format	11s
Mypy Type Checks	2m 12s
C++ Test Coverage (gets coverage of main branch, currently not main branch because no C++ on main)	24m 14s
Build + Test (C++) (Release, gcc, g++, 11)	18m 7s
Pre-commit Checks	40s
Build + Test (C++) (Release, clang, clang++, 14)	21m 17s
pylint	2m 55s
tidy	18m 35s
Build + Test (C++) (Release, clang, clang++, 17, true)	31m 8s
Build + Test (C++) (Debug, gcc, g++, 11)	18m 15s
unittests	11m 26s
Build + Test (C++) (Debug, gcc, g++, 12)	21m 40s
Build + Test (C++) (Debug, clang, clang++, 14)	19m 18s
Build + Test (C++) (Debug, clang, clang++, 17, true)	28m 0s
Build + Test (C++) (clang, clang++, 14, Tsan)	23m 11s
Build + Test (C++) (clang, clang++, 14, Asan)	29m 25s
integrationtests-asan	1h 3m 30s
integrationtests-debug	1h 4m 16s
dockerized-unittests	42m 49s
Comment Coverage Results	0s
integrationtests-release	1h 6m 44s
integrationtests-tsan	1h 15m 43s
	9h 43m 36s

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