[Monolog] Only skip real exceptions #1251

Job	Run time
Tests (ubuntu-latest, 7.2, lowest)	22s
Tests (ubuntu-latest, 7.2, highest)	26s
Tests (ubuntu-latest, 7.3, lowest)	21s
Tests (ubuntu-latest, 7.3, highest)	48s
Tests (ubuntu-latest, 7.4, lowest)	29s
Tests (ubuntu-latest, 7.4, highest)	48s
Tests (ubuntu-latest, 8.0, lowest)	16s
Tests (ubuntu-latest, 8.0, highest)	52s
Tests (ubuntu-latest, 8.1, lowest)	14s
Tests (ubuntu-latest, 8.1, highest)	51s
Tests (ubuntu-latest, 8.2, lowest)	19s
Tests (ubuntu-latest, 8.2, highest)	1m 0s
Tests (ubuntu-latest, 8.3, lowest)	13s
Tests (ubuntu-latest, 8.3, highest)	55s
Tests (windows-latest, 7.2, lowest)	54s
Tests (windows-latest, 7.2, highest)	1m 5s
Tests (windows-latest, 7.3, lowest)	56s
Tests (windows-latest, 7.3, highest)	1m 33s
Tests (windows-latest, 7.4, lowest)	55s
Tests (windows-latest, 7.4, highest)	1m 31s
Tests (windows-latest, 8.0, lowest)	45s
Tests (windows-latest, 8.0, highest)	1m 26s
Tests (windows-latest, 8.1, lowest)	46s
Tests (windows-latest, 8.1, highest)	1m 30s
Tests (windows-latest, 8.2, lowest)	44s
Tests (windows-latest, 8.2, highest)	1m 29s
Tests (windows-latest, 8.3, lowest)	48s
Tests (windows-latest, 8.3, highest)	1m 27s
	23m 43s

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