GBAHawk 2.12
Beats my old TAS by 1 in-game second (https://tasvideos.org/UserFiles/Info/32255713718283718 ).
I tried redoing the run with the very first turn left, but ended up with the same time near the first door. I tried further, grabbed the secret shotgun and ended up with the same time near the second door. So, I think this run is optimized