  We determine the cobordism distance between all positive 3-braid links and
connected sums of trefoil knots, up to a constant error. This may be seen as a
reinterpretation of Coxeter's finiteness result on the braid group on three
strands modulo third powers of the generators. We go on to explore the limits
of Coxeter's result, and find the cobordism distance between three strand torus
links and almost all connected sums of two strand torus links, up to a constant
error.
