New led lights flickering in shop
It sounds like the ram is momentarily dragging down the voltage on the 120V circuit your dimmable LEDs are on, causing them to dim. Powering the affected lights through a power conditioning UPS (uninterruptable power supply), similar to the popular APC units most of our computers/servers are plugged into, should fix this problem at a fairly low cost.
Alternatively, you could build your own AC->DC->AC converter with a large capacitor (or small battery) buffering the DC section, to accomplish the same end. This option could be less expensive and/or could give better performance/longevity if you have the desire to try it.