[StefanoPierini]

Summary of Changes

This PR addresses two related issues when using a secondary/physical thermostat entity (climate.*, e.g. ESPHome, Zigbee, or smart wall thermostats) with SAT:

1. Forward target temperature to connected thermostat entity:
   When push_setpoint_to_thermostat is enabled, async_set_temperature previously only called self._coordinator.async_set_control_thermostat_setpoint(temperature). For coordinators without native bus thermostat control or when an external Home Assistant climate entity is configured (self._config.thermostat), the target temperature was never forwarded to that entity.

   • Fix: Call climate.set_temperature for self._config.thermostat if configured, ensuring external thermostats stay in sync when SAT changes its setpoint.

2. Handle climate entities in _get_entity_state_float:
   When a user configures a climate entity as an indoor temperature sensor (e.g. using the thermostat's built-in room temperature sensor), _get_entity_state_float attempted to execute float(entity.state). In Home Assistant, a climate entity's state represents its HVAC mode (heat, off, idle, etc.), causing a ValueError: could not convert string to float and breaking temperature readings.

   • Fix: If the entity belongs to the climate domain or contains a current_temperature attribute, safely extract that numeric attribute first before falling back to entity.state.

Changes Made

• custom_components/sat/climate.py:
  • In async_set_temperature(): invoke climate.set_temperature on self._config.thermostat when push_setpoint_to_thermostat is true.
  • In _get_entity_state_float(): inspect entity.domain == "climate" / current_temperature attribute and extract temperature safely.

Testing

• Tested with an ESPHome-based room thermostat entity configured both as the connected thermostat and temperature sensor.
• Verified that setpoint adjustments in SAT cascade properly to the physical thermostat display without crashing the float converter on HVAC state changes.

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