The in-memory request handler cache introduced in #6075 keyed entries by
JSON.stringify(input) in a Map shared across all handlers. Any two handlers
querying the same integration with equal options (e.g. {}) collided and read
each other's data — with the mock integration serving every widget kind, all
demo widgets received whichever handler's data was cached first (beszel
getting health-monitoring payloads, etc.). Cache keys are now namespaced per
handler definition.
Also disable the query-cache persister after the first FORBIDDEN response so
demo mode doesn't retry a mutation that is always rejected.