fix: refresh auth context for stateful HTTP requests #1137

Job	Run time
checks / readme-snippets	11s
checks / pre-commit	31s
checks / test (3.11, lowest-direct, windows-latest)	2m 34s
checks / test (3.11, lowest-direct, ubuntu-latest)	44s
checks / test (3.10, lowest-direct, windows-latest)	2m 49s
checks / test (3.10, locked, ubuntu-latest)	46s
checks / test (3.12, locked, ubuntu-latest)	53s
checks / test (3.10, lowest-direct, ubuntu-latest)	45s
checks / test (3.10, locked, windows-latest)	2m 36s
checks / test (3.11, locked, ubuntu-latest)	45s
checks / test (3.14, locked, windows-latest)	4m 47s
checks / test (3.12, lowest-direct, windows-latest)	3m 36s
checks / test (3.11, locked, windows-latest)	2m 37s
checks / test (3.14, locked, ubuntu-latest)	2m 16s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 15s
checks / test (3.13, lowest-direct, windows-latest)	2m 52s
checks / test (3.12, lowest-direct, ubuntu-latest)	57s
checks / test (3.13, locked, windows-latest)	2m 25s
checks / test (3.13, locked, ubuntu-latest)	42s
checks / test (3.14, lowest-direct, windows-latest)	2m 39s
checks / test (3.12, locked, windows-latest)	3m 44s
checks / test (3.13, lowest-direct, ubuntu-latest)	43s
all-green	1s
	41m 8s

Provide feedback