A blade outer air seal (BOAS) segment has 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 extends outward from the main body portion and cooperates with a first end portion of the main body portion to define a first circumferentially outwardly open mounting recess. A second mounting ear extends outward from the main body portion and cooperates with a second end portion of the main body portion to define a second circumferentially outwardly open mounting recess. An outwardly open well is between the first mounting ear and the second mounting ear; a plurality of layers are formed of a ceramic matrix composite (CMC) material and include: a first plurality extending along the first circumferentially outwardly open mounting recess; a second plurality extending along the second circumferentially outwardly open mounting recess; and a third plurality extending along from the first mounting ear to the second mounting ear. One or more first wedges are between layers along the first mounting ear to circumferentially flare the layers along the first mounting ear. One or more second wedges are between layers along the second mounting ear to circumferentially flare the layers along the second mounting ear.