fix(auth): get_access_token reflects current request in stateful sessions #3168

Job	Run time
checks / readme-snippets	11s
checks / pre-commit	52s
checks / docs	41s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 5s
checks / test (3.11, lowest-direct, windows-latest)	1m 32s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 10s
checks / test (3.10, lowest-direct, windows-latest)	1m 43s
checks / test (3.13, lowest-direct, windows-latest)	1m 34s
checks / test (3.10, locked, ubuntu-latest)	1m 11s
checks / test (3.11, locked, windows-latest)	1m 50s
checks / test (3.12, locked, ubuntu-latest)	1m 21s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 6s
checks / test (3.11, locked, ubuntu-latest)	1m 7s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 11s
checks / test (3.14, lowest-direct, windows-latest)	1m 40s
checks / test (3.10, locked, windows-latest)	1m 44s
checks / test (3.13, locked, windows-latest)	1m 40s
checks / test (3.14, locked, ubuntu-latest)	2m 7s
checks / test (3.14, locked, windows-latest)	2m 31s
checks / test (3.12, lowest-direct, windows-latest)	1m 53s
checks / test (3.13, locked, ubuntu-latest)	1m 6s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 17s
checks / test (3.12, locked, windows-latest)	1m 43s
all-green	4s
	32m 19s

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