Minimizing Distance to Triangle Vertices

Fermat–Torricelli Problem**: Determine the point within a given triangle such that the sum of the distances from this point to each of the triangle's vertices is minimised. Specifically, if the vertices of the triangle are denoted as $A$, $B$, and $C$, find the point $P$ that minimises the expression

where $d(P, A)$, $d(P, B)$, and $d(P, C)$ represent the distances from point $P$ to vertices $A$, $B$, and $C$, respectively.