Do what you want, but in fairness let us know what part was bad.
Yes the weather is bad in CA now. Just looked outside and we got snow falling.
The freeplay in the pulley is normal, Don't forget the AC has a "clutch" mec. in the pulley so it will rattle.
Replace the idler pulley and see what it sounds like.
Maybe another video for comparison.
Bummer, I knew it was going to go south pretty quickly. Hope you get that new pully and belt soon and get it back on the road.