The overflow-terminal path ends the turn without reaching finalize_turn, so
a transcript that overflowed right after a tool batch ended on a raw tool
result; strict providers reject the next user turn (tool -> user). Close it
with the same final text, mirroring the truncated-tool-call terminal above.
Also: classify once before either log so an overflow no longer emits a
"so the loop can continue" WARNING followed by the contradicting "NOT
seeding" one; reset the stale-streak breaker once for both branches; drop
the "compression could not recover it" wording (this path never reached
compression); trim the test file to the three tests that bind behaviour
(stream -> terminal stub; 413 stays non-terminal; the terminal ends the
turn, closes the tool tail, carries compression_exhausted).
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