When I am pushing the bike or (lately) cycling slowly, I can hear/feel a slow squeak/skreech from the front wheel. I can feel it through the handle bars, and it isn’t quite the sound of brake pads rubbing. A while back when I started noticing this noise, I only really heard it when pushing it backwards or when pushing it at an angle. I also noticed that the front wheel has a bit of left/right play when I hold it and push it side to side. It does not make any noise, and rotates freely, when lifted in the air and rotated.
Are the play in the wheel axle and the noise related? Do I need to tighten the cones? Or should I grease them first?