Turbine engine having a rotatable disk and a blade

A blade assembly for a turbine engine, the blade assembly comprising:

• a rotatable disk including a peripheral surface, a slot formed along the peripheral surface, and a rotational axis;
• a seal cartridge including a plate at least partially received within the slot, and a first arm extending radially from the plate, the plate being spaced from the rotatable disk to define a first gap therebetween;
• and
• a blade including a root, a leading edge, and a trailing edge, the root being spaced from the plate to define a second gap therebetween;
• wherein:
• the root is received within the slot, the plate is between the root and the rotatable disk, the first arm extends radially and is located at one of the leading edge or the trailing edge of the blade;
• a first thermal passage is at least partially defined by the first gap;
• and
• a second thermal passage is at least partially defined by the second gap.