Save teardown exceptions for further teardowns #5672

Job	Run time
package	26s
build (windows-py39-unittestextras)	21m 54s
build (windows-py39-pluggy)	6m 34s
build (windows-py39-xdist)	6m 30s
build (windows-py310)	6m 59s
build (windows-py311)	25m 29s
build (windows-py312)	18m 1s
build (windows-py313)	17m 20s
build (ubuntu-py39-lsof-numpy-pexpect)	21m 49s
build (ubuntu-py39-pluggy)	5m 20s
build (ubuntu-py39-freeze)	47s
build (ubuntu-py39-xdist)	5m 28s
build (ubuntu-py310-xdist)	6m 14s
build (ubuntu-py311)	17m 27s
build (ubuntu-py312)	19m 29s
build (ubuntu-py313-pexpect)	23m 19s
build (ubuntu-pypy3-xdist)	7m 57s
build (macos-py39)	5m 15s
build (macos-py310)	4m 0s
build (macos-py312)	3m 50s
build (macos-py313)	3m 56s
build (doctesting)	46s
build (plugins)	54s
check	2s
	3h 49m 46s

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