fix: persist input helper config changes via storage API (#884)

* fix: persist input helper config changes via storage API (closes #880)

ha_config_set_helper update path only called config/entity_registry/update
for input helpers (input_select, input_number, etc.), which doesn't persist
config-level changes like options, min/max, step, etc. across HA restarts.

Expand config_store_types to include all input helper types and route
updates through {helper_type}/update WebSocket API, mirroring the create
path that already worked correctly.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

* fix: add missing name arg in tests, use is-not-None checks for update params

- Tests need name (required positional arg) even for update calls
- Use `is not None` instead of truthiness for update-path params
  (unit_of_measurement, initial, duration) so empty strings can
  clear values — matches update semantics vs create semantics

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

* fix: update existing wait parameter tests for new config_store_types path

input_boolean now routes through config_store_types which requires
entity registry lookup for unique_id before calling input_boolean/update.
Update mocks to provide sequential responses matching the new code path.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

---------

Co-authored-by: kingpanther13 <kingpanther13@users.noreply.github.com>
Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: kingpanther13