The settings page follows the desktop's active-profile switcher, but the
provider config calls didn't: no profileScoped() on the client and no
profile param on the backend, so a multi-profile desktop edited the serving
process's config while every surrounding card showed the selected profile's.
Accept ?profile= on both endpoints and resolve inside _profile_scope (the
skills/toolsets contract), spread profileScoped() into the two client calls,
and key the schema cache on the resolved config_schema.py path instead of
the provider name — user-installed plugins are per-profile, so one profile's
lookup must never answer for another's.