A system effective for dual utilization of cooling fluid in a gas turbine engine, the system comprising: a cooling annulus subject to a hot-temperature combustion flow received from a combustor basket and passing between an upstream side and a downstream side of the cooling annulus, the cooling annulus comprising a liner including at least one feed channel (74, 86) to receive the cooling fluid; a feed manifold (76, 84) in fluid communication with the at least one feed channel (74, 86) to feed the cooling fluid to a plurality of conduits (78, 88) that extend in an upstream direction, the plurality of conduits (78, 88) in fluid communication with a plurality of exit orifices (80, 90) of the cooling annulus; and a plurality of resonators in fluid communication with respective ones of the exit orifices (80, 90) of the cooling annulus, at least some of the plurality of resonators configured to operate with different amounts of the cooling fluid, wherein a respective group of the plurality of exit orifices (80, 90) of the cooling annulus is respectively configured to supply an amount of the cooling fluid appropriate for a respective one of the plurality of resonators in fluid communication with the respective group of the plurality of exit orifices (80, 90) of the cooling annulus, wherein the respective group of the plurality of exit orifices (80, 90) of the cooling annulus comprises a different number of exit orifices (80, 90) and/or a different orifice geometry to supply the amount of the cooling fluid appropriate for the respective one of the plurality of resonators in fluid communication with the respective group of the plurality of exit orifices (80, 90) of the cooling annulus. a cooling annulus subject to a hot-temperature combustion flow received from a combustor basket and passing between an upstream side and a downstream side of the cooling annulus, the cooling annulus comprising a liner including at least one feed channel (74, 86) to receive the cooling fluid; a feed manifold (76, 84) in fluid communication with the at least one feed channel (74, 86) to feed the cooling fluid to a plurality of conduits (78, 88) that extend in an upstream direction, the plurality of conduits (78, 88) in fluid communication with a plurality of exit orifices (80, 90) of the cooling annulus; and a plurality of resonators in fluid communication with respective ones of the exit orifices (80, 90) of the cooling annulus, at least some of the plurality of resonators configured to operate with different amounts of the cooling fluid, wherein a respective group of the plurality of exit orifices (80, 90) of the cooling annulus is respectively configured to supply an amount of the cooling fluid appropriate for a respective one of the plurality of resonators in fluid communication with the respective group of the plurality of exit orifices (80, 90) of the cooling annulus, wherein the respective group of the plurality of exit orifices (80, 90) of the cooling annulus comprises a different number of exit orifices (80, 90) and/or a different orifice geometry to supply the amount of the cooling fluid appropriate for the respective one of the plurality of resonators in fluid communication with the respective group of the plurality of exit orifices (80, 90) of the cooling annulus.