Is this a bad engine mount?

Looks to me like it’s something on the engine mount from the manufacturing process from that component manufacturer. My guess is it’s spilled hydraulic filler used in their process. Note I see that same brown spray in other areas of that mount, and only on the mount.

I concur with Paulsters assessment. Have the dealership review. Do not feel bad about asking that the part be tested good at the dealer with verification or replaced immediately. The factory should not be sending out parts that look like that.

You can also ask the parts counter at the dealership if you could inspect a new engine mount. Does a new part display the same brown overspray?