But those goals are redundant because they all effectively mean keep inflation in check. According to Powell's own argument in the 3rd paragraph in this speech, keeping inflation in check is a goal because "without price stability, we will not achieve a sustained period of strong labor market conditions that benefit all."
I'm not going to argue that these things are completely orthogonal, but as the current inflation crisis illustrates, we can have steep inflation and high labor participation (of course, sustaining that labor participation in the midst of steep inflation is infeasible, but most people aren't economically literate and even professional economists get it wrong with troubling frequency).