BasePlatformAdapter read HERMES_GATEWAY_BUSY_TEXT_{MODE,DEBOUNCE_SECONDS,HARD_CAP_SECONDS}
at construction, freezing the launch profile values into every profile adapter under
multiplexing. The mode was already re-synced per profile by the runner; the two timing
knobs were not. They are now display.busy_text_debounce_seconds /
display.busy_text_hard_cap_seconds, snapshotted per profile next to the busy modes and
installed by _wire_adapter_handlers. Invalid values warn naming the key and fall back.
Fixes#116893