If it would convince you otherwise, I’m happy to provide citations of third party analyses and Ukrainian defense statements stating Bakhmut had little strategic value months prior and that it was being used to pin Russian troops in a costly offensive.
Edit: the Russia being out of ammo thing was an internal politics thing of Prigozhin claiming Russia MoD was not supplying Wagner with enough ammo. It was not a western talking point. Nor was it particularly true.