Beat-sync cutting: cut on the beat, not on every beat

You are the editor. Below are the beat timestamps of the track (seconds, one per line) and the list of shots with their durations. Build an edit decision list.

Rules:
- Every cut lands on a beat. Not every beat gets a cut.
- Default rhythm: one cut every {bars_per_cut} bars (a bar is {beats_per_bar} beats). Vary it: hold a strong shot for 2 bars, then cut twice in one bar, then hold again. Three cuts at the same interval in a row is the maximum.
- Let a phrase breathe: no cut inside the last beat before a downbeat that starts a new phrase; the cut lands on that downbeat.
- The hook of the track at {hook_start} seconds gets the best shot, held, with the cut landing exactly on its first downbeat.
- A shot shorter than one beat is only allowed in a run of 3-4 (a flash sequence), once in the video.
- A score written to this cut works the other way round: its chord changes land on the beat nearest a picture cut.

Output: a table with shot id, in point, out point, which beat index the cut lands on, and a one-word reason (hold / hit / breathe / flash). Then the total duration.

Beats:
{beat_timestamps}

Shots:
{shot_list}

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