Cladi (plural, singular cladus, from ancient Greek: klados, "branch"): in botany, Branches that together form the cladom. Cladus also denotes a group in nature which consists of a common ancestor and all of his direct descendants. Cladi III is part of a larger cycle, which also includes Cladi I (2020) for accordion solo, Cladi II (2021) for ensemble and Cladi IV for accordion solo. These compositions are interconnected musically and can be performed either together or independently. The title of this work highlights the relationship between the pieces in the cycle and the work process of each individual piece. The first Cladi I for accordion solo - a simple melodic line in the high register - was based on experiments with different algorithms. The goal was to create a "found object" that would inspire my creativity in the next step. I then reacted freely and intuitively, seeking connections, networks, clarifications, and adding new layers or removing them. The cyle came about as a chain: the material from Cladi I was expanded in Cladi II, which inspired Cladi III, and Cladi IV developed the dominating ideas of Cladi III. It reminded me of the growth of branches - hence the title. In Cladi III, my attention is directed towards exploring novel modes of interaction. This involves crafting a musical structure characterized by openness, where accidents and uncertainties are embraced to catalyze unforeseen musical scenarios. The aim is to shift the musicians' focus towards a heightened musical sensitivity and to bring them into spirit of playfulness, rather than prefect execution. This mind-frame is facilitated by intentionally desynchronizing the instrumental parts, leaving only specific moments for intersection. Such an approach allows the performers to respond more dynamically to the musical context and to one another. Cladi III is dedicated to the memory of Bronius Kutavičius (1932–2021), one of the most influential Lithuanian composers of the second half of the 20th century and my first composition teacher.