Get the charging system checked at an Advanced Auto or Autozone. It's free. they'll also check the battery. The light means that voltage is low. Then check for the codes after everything is OK in the charging circuit. BTW: If you need an alternator one member found O'Reilly Auto Parts to be the cheapest for a reman. unit..
Smokey air. Don't like the sound of that. Any smell such as anti-freeze? (i.e. Leaking heater core?)

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2021 X5 xDrive40i
2015 X5 xDrive35i MSport
(Traded) 2013 X5 xDrive35i