Handle connection errors in StreamableHTTP post_writer #1436

Job	Run time
checks / readme-snippets	12s
checks / pre-commit	34s
checks / test (3.10, lowest-direct, windows-latest)	3m 7s
checks / test (3.10, locked, windows-latest)	2m 18s
checks / test (3.10, locked, ubuntu-latest)	56s
checks / test (3.11, locked, ubuntu-latest)	50s
checks / test (3.11, lowest-direct, windows-latest)	2m 39s
checks / test (3.11, locked, windows-latest)	2m 36s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 6s
checks / test (3.10, lowest-direct, ubuntu-latest)	57s
checks / test (3.11, lowest-direct, ubuntu-latest)	57s
checks / test (3.13, lowest-direct, windows-latest)	2m 44s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 16s
checks / test (3.13, lowest-direct, ubuntu-latest)	54s
checks / test (3.12, locked, windows-latest)	3m 53s
checks / test (3.12, locked, ubuntu-latest)	57s
checks / test (3.14, lowest-direct, windows-latest)	2m 44s
checks / test (3.14, locked, ubuntu-latest)	2m 20s
checks / test (3.14, locked, windows-latest)	3m 16s
checks / test (3.13, locked, ubuntu-latest)	50s
checks / test (3.13, locked, windows-latest)	2m 23s
checks / test (3.12, lowest-direct, windows-latest)	3m 58s
all-green	5s
	41m 32s

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