Parents (profile-config.tsx) build the `profile` scope as a fresh object
literal on every render, so `useMemo(..., [profile])` produced a new
cache writer each time and the autosave effect, which depends on both,
tore down and re-armed its 550ms timer on every unrelated re-render.
Key both on profileScopeKey(profile) — the same string the query cache
already uses as the scope's identity — so only a real scope change
re-arms them.
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