`resumeTile` — the cold-resume path for a session opened in a tile / split
pane — resumed with `{ session_id, cols }` and read messages with no profile,
so a tile opening a session from another profile let the gateway fall back to
the launch-profile DB and fork the conversation into the wrong profile: the
same cross-profile bleed the recovery resumes had (#67603), just a sibling
call path. Resolve the owning profile via the shared `resolveSessionProfile`
and carry it on both the transcript prefetch and the resume RPC.
Co-authored-by: oliviaaaa7788 <oliviaaaa7788@users.noreply.github.com>
Brooklyn Nicholson
c3602f7f05