Two things surfaced in the secondary pane: the tab said "session 1"
while the banner said "secondary 1" — now both say "session N". And the
banner showed "session exited" right after starting, even though Claude
was alive: a transient tmux client process can exit during spawn while
the session itself is fine. pane.exit now verifies via `tmux has-session`
and only reports exited when the session is actually gone.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>