Special Lagrangians in nearly Kähler <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">CP</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>

This article explores special Lagrangian submanifolds in $\mathbb{CP}^3$, viewed as a nearly K\"ahler manifold, from two different perspectives. Intrinsically, using moving frame set-up, and extrinsically, $\mathrm{SU}(2)$ moment-type maps. We describe new homogeneous examples, both perspectives, classify totally geodesic submanifolds. show that every or the flag manifold $\mathbb{F}_{1,2}(\mathbb{C}^3)$ admitting symmetry of an subgroup automorphisms is automatically homogeneous.