Yes, continue to run-in your new components.
How do I take just a little of the edge off the brightness without losing the wonderful clarity I’m getting?
Before changing cables, examine how well your room is treated. You may need treatments to absorb and diffuse the mid to high frequencies.
Replacing interconnects will affect the clarity and timbre of your sonics in some manner. IME, using Cardas may help tame brightness, but will change the clarity due to the sonic signature of their cables. The Clear line of cables is more neutral and has clean extended highs, but will still change the overall timbre of your system.
Changing power cables is the only way I have found to tame harshness without changing the overall sound.
Some cables can extend the top-end and some can provide smoother, more organic sonics. PC’s that have helped my system are Pangea, Audience, JPS, PS Audio. OTOH, Signal Cables provided extended highs.
More importantly, clean power from either dedicated lines or power conditioning can treat a fatiguing system.