OK, semantics. I was thinking "engine coolant pump" = pump that cools the engine, not in the broader term that it is a pump that circulates engine coolant.
The other light is the "recirculate" light, I think.
And I didn't know that "recirculation" was automatic :
Air Recirculation/REST
This mode can be selected to temporarily reduce
the entry of annoying odors or dust into
the vehicle’s interior. Outside air does not flow
into the vehicle’s interior. To select, press the
recirculation button. To cancel, press the recirculation
button again.
The system will automatically switch from recirculated
air to fresh air after approximately five minutes at
outside temperatures below approximately 40°F (5°C);
after approximately 30 minutes, at outside temperatures
above approximately 40°F (5°C); after approximately five
minutes, if the A/C button is pressed.
At high outside temperatures, the system automatically
engages the recirculated air mode for approximately 30
minutes, thereby increasing the cooling capacity performance.
Press the recirculation button again to extend the
recirculated air mode.