Plan which printers can take a plate and what to load

Takes the plate's effective filament requirements and returns the printers where every filament has a bay, ranked by fewest load and swap actions, then by Smart Queue match score, then by name. Each suggestion lists only what is still missing, as load actions that name the exact bay and its text. This is material-routing advice: connectivity, readiness, maintenance and current work are not checked, and a suggestion does not reserve a printer or authorize changing a bay during a print. Printers with no material route are listed with why. Name printers with printer_id or printer_ids, up to 25; otherwise up to 100 printers are evaluated in name order. An unknown or inaccessible named printer returns 404. Reading sends nothing to a printer, slices nothing and creates no job.