Not Avant Garde. None of the various published versions of Avant Garde have a closed R at this weight. However, Mostardesign has recently published Sofia, a family by Olivier Gourvat which, on first look, seems to be a revival of Avant Garde with certain characteristic changes; for example, the Sofia R has a closed counter throughout. Comparing PREMATURELY PLASTIC in Sofia Extralight or Thin appears to match your sample here.
http://new.myfonts.com/fonts/mostardesign/sofia/
-NJ
There IS a gap in the line up of available AvantGarde-like geometric sanses: I just did an Identity Programme where the client wanted something like AG with some Century Gothic sensiblities. I ended up adapting a Chalet-version -- thickening it, new t, new ij diphtong, and a lot of other fiddling around. For 14 glyphs…
Futura Maxi is another alternative.
Captured from web.archive.org on 17 Aug 2010. view this capture