Constant WARMUP_HOPS 

pub const WARMUP_HOPS: usize = _; // 16usize

Hops the analyzer consumes before it publishes its first frame — the time the longer window takes to fill (~171 ms at 48 kHz).

Exported so callers that sample a clip “past warm-up” derive the offset instead of restating it as a literal. Two already did, and both were silently wrong the moment LOW_WINDOW_SIZE arrived.