[ZHA] ZHA System modes are not in agreement with ZCL (and zigpy) System Modes

[PLTorrent]

The problem

System modes defined here:

core/homeassistant/components/zha/climate.py

Line 119 in bb99d07

HEAT_COOL = 0x01

are not in agreement with ZCL specification or Zigpy modes:

https://github.com/zigpy/zigpy/blob/1d69fc4d5aa724ce652cf002364879a25d30677c/zigpy/zcl/clusters/hvac.py#L215

Namely instead of Auto mode there is "heat_cool" mode with 'heat_cool' literal instead of auto.

From ZCL spec: https://zigbeealliance.org/wp-content/uploads/2019/12/07-5123-06-zigbee-cluster-library-specification.pdf

What version of Home Assistant Core has the issue?

core-2021.11.5

What was the last working version of Home Assistant Core?

No response

What type of installation are you running?

Home Assistant Supervised

Integration causing the issue

ZHA

Link to integration documentation on our website

https://www.home-assistant.io/integrations/zha/

Example YAML snippet

No response

Anything in the logs that might be useful for us?

File "/workspaces/ha-dev/homeassistant/components/zha/climate.py", line 439, in async_set_hvac_mode
    if await self._thrm.async_set_operation_mode(HVAC_MODE_2_SYSTEM[hvac_mode]):
KeyError: 'auto'

Additional information

No response

[probot-home-assistant]

Hey there @dmulcahey, @Adminiuga, mind taking a look at this issue as it has been labeled with an integration (zha) you are listed as a code owner for? Thanks!
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[Adminiuga]

SystemMode.Auto was named to matched HA HVAC action of "heating" or "Cooling" automatically.
Why is this a problem?

[PLTorrent]

Now it's clear, thank you!