Hopefully, the emphasis will be on more running with "opportunistic" passing situations.
That is, less passing on 3rd and long, more passing on 2nd and 3rd going short.
The better the running attack, the more Dak friendly type of offense. They can use the running game to set up the long passes to Lamb and Cook.
The defense should make the offense more Dak friendly as well by keeping the scoring down and giving the offense better field position. This would lessen the number of situations in which the offense falls behind and must catch up in the 2nd half.
They should limit the passing to 30 or less attempts. Again, the Cowboys are 27-1 when Dak throws 28 or less passes.
It is no coincidence that Tony Romo was the #1 ranked quarterback in passer rating the only time in his career in 2014. That was the same season Murray broke the Cowboys single season rushing record. It was also the least number of passes Romo threw when playing an entire season.
The term "Dak friendly offense" isn't a specific assortment of plays. It is a philosophical strategy to reduce the pressure and stress on the QB by reducing the number of critical and game deciding plays placed on his shoulders. Obviously, they can be reduced but not eliminated.