MAINT: Refactor _update_field_annotation (#2862) #5307

Job	Run time
Check code style issues	37s
Build & verify package	13s
pytest on windows	7m 26s
pytest on 3.8 (crypto-lib: cryptography)	5m 12s
pytest on 3.9 (crypto-lib: cryptography)	5m 22s
pytest on 3.10 (crypto-lib: cryptography)	5m 48s
pytest on 3.11 (crypto-lib: cryptography)	5m 41s
pytest on 3.12 (crypto-lib: cryptography)	8m 2s
pytest on 3.13-dev (crypto-lib: cryptography)	7m 52s
pytest on 3.8 (crypto-lib: pycryptodome)	5m 51s
pytest on 3.8 (crypto-lib: none)	5m 13s
Combine & check coverage.	15s
	57m 32s

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