Just adding this for people that may have not seen it -
The best guide to use if you are trying to install HA Supervised on a RPI, is this: Installing Home Assistant Supervised on a Raspberry Pi using Debian 12.
However, speaking about specifically ONLY getting the functionality for the LEDs for your RPI enabled with HA Supervised (which is not really necessary for it to work properly but a ‘nice to have’ for some folks - as in the below picture),
…for installing the setup altogether (HA Supervised) use the above post instead, but only for re-enabling the LEDs on a RPI running Debian 11 only scroll down within the below link to the section entitled “Enabling PWR/ACT LEDs”, and follow those instructions in that section only, not the above sections: