refactor: flatten the methods in `Client` #218

Job	Run time
checks / readme-snippets	11s
checks / pre-commit	35s
checks / test (3.10, locked, ubuntu-latest)	1m 13s
checks / test (3.11, locked, ubuntu-latest)	1m 7s
checks / test (3.12, locked, ubuntu-latest)	1m 15s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 11s
checks / test (3.10, locked, windows-latest)	4m 11s
checks / test (3.11, lowest-direct, windows-latest)	4m 11s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 13s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 9s
checks / test (3.11, locked, windows-latest)	4m 34s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 5s
checks / test (3.13, lowest-direct, windows-latest)	4m 14s
checks / test (3.12, locked, windows-latest)	6m 8s
checks / test (3.14, lowest-direct, ubuntu-latest)	2m 20s
checks / test (3.12, lowest-direct, windows-latest)	6m 13s
checks / test (3.13, locked, ubuntu-latest)	1m 8s
checks / test (3.10, lowest-direct, windows-latest)	4m 39s
checks / test (3.14, locked, windows-latest)	5m 2s
checks / test (3.13, locked, windows-latest)	4m 25s
checks / test (3.14, locked, ubuntu-latest)	3m 30s
checks / test (3.14, lowest-direct, windows-latest)	4m 13s
all-green	3s
	1h 3m 50s

Provide feedback