What lights are you using?
When photographing really shiny objects the further you are away from the object the easier it is to stay out of your light source and therefore not appear in your object as you would be in the dark.
Product photography boxes work very well allowing you to poke your lens through a window to shoot the product, they can be made really easily from anything as simple as a shoe box and tracing paper (as long as you lens will close focus if not, make the box bigger)...
Others have mentioned paper/foamcore etc a big black sheet with a hole is great for you to get behind with the camera. I have used a sheet of black fabric and put myself and the camera underneath with only the lens poked out. As long as you are controlling your light (with flag, grids, snoots etc) so you are in the dark, you will not reflect in the dog tag as you will be as dark as your surroundings.
One other thing i really suggest is for you to shoot the thing tilted away from you, no matter what, you can then set up a piece of white card to hit with your light, or grey card, depending what tonal value you want the metal to have, as it is tilting away from you you will not reflect in it, and you will have far more control over the light and dark areas. You will need some dark to make the mirror like object appear mirror like.
It is very difficult to be right in front of a mirror like object and still manage to bounce light off it, into the camera... thats where the big piece of paper / foamcore etc works well, with your main lights pointed at it, but you will need the spot out the lens from your final shot.
Another way to have is "almost" facing you is again to back up and use a longer lens, then a small 1deg tilt will have the object facing a light source, while you are just off axis... then a gentle adjustment in PS will straighten the object out.
If you have any specific questions about this, i can answer them for you.
Good Luck
Ab
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“Imagination is more important than knowledge. For knowledge is limited to all we now know and understand, while imagination embraces the entire world, and all there ever will be to know and understand.” - Albert Einstein
E-3, E-300, 50mm f2, 35mm f3.5, Sigma 105mm f2.8, 12-60, 14-45
a850, 100mm f2.8 sony, 50mm f1.4 sony