Separating airflows within a turbine engine

An assembly for a turbine engine, comprising:

• an engine core extending along an axis, the engine core including a compressor section, a combustor, a diffuser structure, a diffuser plenum, a first separator, and a second separator, the compressor section comprising a compressor rotor, wherein the first separator includes a center body, an inner tube, an outer tube, an outlet tube, a first airflow passage, and a second airflow passage;
• the combustor arranged within the diffuser plenum, the combustor including a combustion chamber extending radially between a first combustor wall and a second combustor wall, the first combustor wall and the second combustor wall being disposed between the combustion chamber and the diffuser plenum, the first combustor wall comprising a first dilution aperture extending through the first combustor wall to the combustion chamber, and the second combustor wall comprising a second dilution aperture extending through the second combustor wall to the combustion chamber;
• the diffuser structure including a first diffuser passage, a second diffuser passage disposed radially outboard of the first diffuser passage, and a third diffuser passage disposed radially inboard of the first diffuser passage, the first diffuser passage fluidly coupling the compressor section to the diffuser plenum, the second diffuser passage fluidly coupling the compressor section to the first separator, the third diffuser passage fluidly coupling the compressor section to the second separator, the second diffuser passage extending longitudinally from an inlet of the second diffuser passage to an outlet of the second diffuser passage, the inlet of the second diffuser passage downstream of and adjacent the compressor rotor, and the outlet of the second diffuser passage interfacing with the outer tube at a separator inlet of the first separator;
• the outlet tube of the first separator extending from the outer tube and through the first dilution aperture, and fluidly coupling the outer tube with the combustion chamber;
• and
• the first separator fluidly coupling the second diffuser passage to the first dilution aperture, and the second separator fluidly coupling the third diffuser passage to the second dilution aperture.