test: Fix for Pydantic private fields (2nd attempt) (#3733) #4002

Job	Run time
mypy	1m 15s
mypy	1m 15s
pyright	55s
pyright	55s
slotscheck	30s
slotscheck	30s
Test server integration (uvicorn<0.27.0)	52s
Test server integration (uvicorn<0.27.0)	52s
Test server integration (uvicorn>=0.27.0)	55s
Test server integration (uvicorn>=0.27.0)	55s
Test Minimal Application with Base Dependencies	33s
Test Minimal Application with Base Dependencies	33s
Test Minimal Pydantic 1 application	36s
Test Minimal Pydantic 1 application	36s
validate	13s
validate	13s
test (3.10) / test	1m 57s
test (3.10) / test	1m 57s
test (3.11) / test	1m 46s
test (3.11) / test	1m 46s
test (3.12) / test	3m 29s
test (3.12) / test	3m 29s
test (3.8) / test	3m 6s
test (3.8) / test	3m 6s
test (3.9) / test	1m 58s
test (3.9) / test	1m 58s
test-platform-compat (macos-latest) / test	1m 5s
test-platform-compat (macos-latest) / test	1m 5s
test-platform-compat (windows-latest) / test	2m 19s
test-platform-compat (windows-latest) / test	2m 19s
build-docs	0s
build-docs	0s
upload-test-coverage	15s
upload-test-coverage	15s
codeql	3m 20s
codeql	3m 20s
sonar	1m 42s
sonar	1m 42s
	53m 32s

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