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Writes the Plex toggles, selection, and home users. Mirrors the GET shape so it round-trips; omitted toggle keys are left unchanged (no clobbering), and library_ids is sent structured and rebuilt into the server|uuid storage server-side.

The optional trigger_sync block is the only thing that touches sync timestamps or enqueues work: any *_all_data: true resets the affected cursors and enqueues a full sync per selected server; present-but-all-false seeds every cursor to "now" (the first sync skips old history); absent writes settings without syncing.