Just make Draw/Crown Draw part of the gauge.
Have a bar that charges up every 30s which gives a card, and every 60s also draws a Minor arcanum. The additional charges of Draw represented on the gauge as well.
Playing a major/minor arcanum automatically draws another one, if available, into your hand.

This cuts down on the weave space needed to draw (especially important for AST, whose opener and 120s burst is very weave intensive), and the 2 required buttons for drawing.
It also means that we can enter instances with 1 card already held and 2 prepared, which removes the 30s prepull wait.