fix: drain terminal streamable HTTP responses #2361

Job	Run time
checks / pre-commit	22s
checks / readme-snippets	15s
checks / test (3.11, lowest-direct, ubuntu-latest)	56s
checks / test (3.10, locked, windows-latest)	3m 8s
checks / test (3.11, lowest-direct, windows-latest)	2m 41s
checks / test (3.10, lowest-direct, ubuntu-latest)	59s
checks / test (3.10, lowest-direct, windows-latest)	2m 34s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 3s
checks / test (3.11, locked, windows-latest)	3m 5s
checks / test (3.11, locked, ubuntu-latest)	54s
checks / test (3.12, locked, ubuntu-latest)	1m 5s
checks / test (3.13, lowest-direct, ubuntu-latest)	52s
checks / test (3.12, locked, windows-latest)	4m 16s
checks / test (3.12, lowest-direct, windows-latest)	3m 19s
checks / test (3.10, locked, ubuntu-latest)	56s
checks / test (3.13, lowest-direct, windows-latest)	3m 34s
checks / test (3.13, locked, windows-latest)	2m 42s
checks / test (3.14, locked, ubuntu-latest)	2m 6s
checks / test (3.14, locked, windows-latest)	3m 38s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 7s
checks / test (3.14, lowest-direct, windows-latest)	2m 41s
checks / test (3.13, locked, ubuntu-latest)	53s
all-green	2s
	43m 8s

Provide feedback