docs: lead the README client example with a URL, not the server object #3982

Job	Run time
checks / readme-snippets	17s
checks / pre-commit	59s
checks / docs	1m 44s
checks / test (3.10, locked, windows-latest)	2m 14s
checks / test (3.10, locked, ubuntu-latest)	1m 32s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 27s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 38s
checks / test (3.13, locked, ubuntu-latest)	1m 17s
checks / test (3.11, locked, windows-latest)	1m 55s
checks / test (3.14, locked, windows-latest)	2m 7s
checks / test (3.11, lowest-direct, windows-latest)	1m 59s
checks / test (3.11, locked, ubuntu-latest)	1m 23s
checks / test (3.14, lowest-direct, windows-latest)	1m 50s
checks / test (3.13, lowest-direct, windows-latest)	1m 54s
checks / test (3.12, locked, windows-latest)	2m 5s
checks / test (3.14, locked, ubuntu-latest)	1m 22s
checks / test (3.12, locked, ubuntu-latest)	1m 45s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 34s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 13s
checks / test (3.10, lowest-direct, windows-latest)	1m 33s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 4s
checks / test (3.13, locked, windows-latest)	1m 32s
checks / test (3.12, lowest-direct, windows-latest)	2m 1s
all-green	3s
	36m 28s

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