fix(LAB-3228): fix dogfooding with system prompt export #6420

Job	Run time
Pylint test (3.8)	1m 19s
pyright (3.8)	1m 4s
Pylint test (3.12)	1m 17s
pyright (3.12)	1m 5s
doc-build-test	1m 35s
markdown-link-check	1m 9s
pre-commit	38s
Unit and integration tests (ubuntu-latest, 3.8)	1m 32s
Unit and integration tests (windows-latest, 3.8)	4m 7s
find-dead-code	45s
build-test	38s
Unit and integration tests (ubuntu-latest, 3.12)	1m 26s
	16m 35s

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