Peroxide is broad spectrum, It is an indiscriminate antiseptic. Daconyl has some specificity, but low toxicity. Daconyl will leave a residue on the leaves that will kill incoming spores. Peroxide just acts on what is present at the time (I prefer to use it because it just oxidizes stuff and becomes nothing more than plain water).
Fungi acting on parts of the plant other than the leaves will act either in the phloem or in the xylem (maybe both). In the phloem you should observe withering of the bark that progresses downward, toward the roots (the direction phloem sap moves). In the xylem you will see the opposite - the usual result is the xylem gets clogged and the foliage above the point of infection suddenly withers, turns brown, and hangs on. Slowly thereafter (over the span of weeks) the bark withers. As far as I can tell from this thread, you have none of these symptoms, so I am not advising you to remove anything other than affected leaves.
Finally, I only know BRT by accounts such as this. I've never had one, nor am I particularly interested in having one. I am just speculating about a possible your problem (if it is indeed a problem). I think my proposal will do little harm if it is incorrect, but something positive otherwise.
Other possibilities are that your BRT has root problems which, if so, would most likely be from 'over watering' or compacted soil/media/substrate. If you dig your finger into the soil and it sticks to your finger, don't water. In fact, don't water until you see the foliage begin to droop. Note how the soil feels and use this as a guide to know when to water.
Smell the soil. If it stinks, it very well may have root rot, which is yet another kind of fungal infection and caused by over watering. If so, use the diluted peroxide solution the next time you correctly water the plant and maybe again the next time.
Lastly, the foliage in some pix looks to be pale but with dark green veins. This can be caused by mineral deficiency. Are you applying a fertilizer? What exactly is the soil/substrate/medium it is growing in and what is the pot made of (plastic, ceramic, concrete)?