A blade outer air seal (BOAS) segment comprising: a transversely concave inner diameter (ID) surface along a main body portion and extending from a first circumferential end to a second circumferential end ; a first mounting ear extending outward from the main body portion , the first mounting ear and a first end portion of the main body portion defining a first circumferentially outwardly open mounting recess ; a second mounting ear extending outward from the main body portion , the second mounting ear and a second end portion of the main body portion defining a second circumferentially outwardly open mounting recess ; an outwardly open well between the first mounting ear and the second mounting ear ; a first load-distributing coating along the first mounting recess ; and a second load-distributing coating along the second mounting recess ; a plurality of layers formed of a ceramic matrix composite (CMC) material, the plurality of layers (86... 140) including: a first plurality of layers extending along the first circumferentially outwardly open mounting recess ; a second plurality of layers extending along the second circumferentially outwardly open mounting recess ; and a third plurality of layers extending along from the first mounting ear to the second mounting ear ; one or more first wedges between layers of said plurality of layers along the first mounting ear to circumferentially flare the layers along the first mounting ear ; and one or more second wedges between layers of said plurality of layers along the second mounting ear to circumferentially flare the layers along the second mounting ear . a transversely concave inner diameter (ID) surface along a main body portion and extending from a first circumferential end to a second circumferential end ; a first mounting ear extending outward from the main body portion , the first mounting ear and a first end portion of the main body portion defining a first circumferentially outwardly open mounting recess ; a second mounting ear extending outward from the main body portion , the second mounting ear and a second end portion of the main body portion defining a second circumferentially outwardly open mounting recess ; an outwardly open well between the first mounting ear and the second mounting ear ; a first load-distributing coating along the first mounting recess ; and a second load-distributing coating along the second mounting recess ; a plurality of layers formed of a ceramic matrix composite (CMC) material, the plurality of layers (86... 140) including: a first plurality of layers extending along the first circumferentially outwardly open mounting recess ; a second plurality of layers extending along the second circumferentially outwardly open mounting recess ; and a third plurality of layers extending along from the first mounting ear to the second mounting ear ; a first plurality of layers extending along the first circumferentially outwardly open mounting recess ; a second plurality of layers extending along the second circumferentially outwardly open mounting recess ; and a third plurality of layers extending along from the first mounting ear to the second mounting ear ; one or more first wedges between layers of said plurality of layers along the first mounting ear to circumferentially flare the layers along the first mounting ear ; and one or more second wedges between layers of said plurality of layers along the second mounting ear to circumferentially flare the layers along the second mounting ear . <EOS>