Here is how I found success translating my music reading skills from the piano to the DBA.
I am playing on a GCF Hohner Panther, I am a fellow newbie to the instrument
The first thing I did was draw a big button chart on the whiteboard in my practice room, just a copy of what was on the Hohner website. Then I spent a few days standing in front of it and picking out the diatonic scales on the instrument, first with alternating push-pulls, then push only, then pull only, etc, just to get a kind of gut feeling for how the notes are spaced.
After a few days of that, I got out my staff paper and wrote out each scale before I played it. No key signature, just writing out all the notes and accidentals, which there are admittedly few in G C and F. Then I would play it. I would number the fingering using the button numbers from the Hohner chart. Add push and pull notation identical to like a bowed string instrument. After this, I moved onto doing the same for chords. And then I found out about ABC notation for folk music and I tried copying a few tunes into my staff notebook and notating them and playing them. And currently I'm working on playing out of Fake books and lead sheets.
I think spending the time writing the notation by hand is key to making the connections in your brain for faster reading. Study the piece before playing and work out your path through the button board, which notes you will push, which you will pull etc. Do this for the simplest Twinkle Twinkle tunes you can find.