I think protruding it out is a mistake, it would look much better flush with the wall with a nice frame around the tank and fit better with a modern contemporary design if that is what you are going for. I'd also make use of the all awkward space and just extend the tank all the way back to the shower wall making it around 40" deep (maybe ~36" to leave room for an external overflow). Full access from the front and partial from the back is really all you'll need. You'll want to keep equipment away from that bedroom wall, not just for noise but any leaks or spills will ruin that carpet in a hurry. Putting equipment on that back bathroom wall would allow clean plumbing to wrap around the corner and gives you a straight shot to the existing floor drain.
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