Problems configuring the fan modes

[FaGerstenlauer]

With the great suport of Eric Chavet I got my ESP32 to work. (see https://github.com/echavet/MitsubishiCN105ESPHome/discussions/110)

I have seen that my system do not support "only fan".

So in the code I wrote:

supports:
      mode: [AUTO, COOL, DRY, HEAT]

And it works perfectly.

Now I have the problem that I don't understand how to configure the fan mode. The system suports the folowing:

What do I have to write in the code? There is no "Super High". If I konfigure it like this:
fan_mode: [AUTO, QUIET, LOW, MEDIUM, HIGH]
If I now switch throuch the modes with the original remote, HA interprets it like that:

Auto --> Auto
Silent --> Low (wrong, it should be "quiet")
Low --> Low
Med. --> Middle
High --> (error masage: The fan mode is invalid. Valide fan modes are: auto, low, medium, high, quiet)
Super High --> High

I'm a bit confused. What do I have to set?

[disruptivepatternmaterial]

DEFAULT_FAN_MODES = ["AUTO", "MIDDLE", "QUIET", "LOW", "MEDIUM", "HIGH"]

Those are the 6 modes, you have 6 modes listed: map them as you like.

[FaGerstenlauer]

And how do I map them?