test: add e2e tests requesting live api #281

Job	Run time
docs	24s
test / Python 3.10	20s
test / Install [dev] on ubuntu-latest	18s
test / Install [dev] on macos-latest	18s
test / Build and inspect the package	19s
test / Install [dev] on windows-latest	47s
test / Build and run the docker image	42s
test / Python 3.12	18s
test / Python 3.13	24s
required-checks-pass	2s
	3m 52s

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