That would be Deer Lake. It seems to be one of the few that someone isn't screaming about opening mechanically on a regular basis. It opened recently due to the rain we had and has been slowly draining ever since. It is a much better example of how a dune lake works than Eastern lake since, to my knowledge, it hasn't been opened mechanically.
The outflows will go in whatever direction provides the least resistance (water flows downhill). It has become a very interesting outflow as it comes out of the lake in the normal fashion most expect and see, then meanders west for several hundred feet then there is a lower portion that is emptying into the Gulf. I've never seen this configuration before, usually they go straight out without much meandering. Most seem to go west ward and if you do a search you can find a photo of the Eastern lake outfall going directly west before reaching the Gulf.
If you ever happen to catch a dune lake opening it is a truly awesome site as it goes from a slow trickle to a massive roaring of water 30 feet wide.
Note: Never try to open a dune lake, it's illegal, and dangerous. Just last year IIRC two kids were swept out after opening Western lake.