I’m the monarch, with an Archon of Coronation on the board. My teammate gets attacked with a Changeling Outcast. Do we lose life?

Archon of Coronation says “…damage doesn’t cause you to lose life”, is that implied to mean that “…damage [you take] doesn’t cause you to lose life”? Because my teammate getting hit seems like it is damage that would cause me to lose life. I have a feeling this doesn’t work this way, but I’m not sure. Relevant sections from the comprehensive rules would be appreciated!

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