Search the curated global exercise pool, the catalog AIm's programs and workouts are built from. Filter by muscle (e.g. 'lats', 'side_delts'), equipment (list of what the user has; an exercise is returned when one of its equipment_options kits is covered by it, and body weight always counts, so [] means no equipment), movement_pattern, category, or query (a name in any supported language; when no name holds every word, entries are ranked by how many words hit, and a body-region word such as 'back' or 'спина' matches that region's exercises). Every entry carries a canonical slug, used verbatim as the exercise_id, plus localized name and a short technique summary, primary/secondary/tertiary muscles, equipment_options (alternative kits, each needed together), and rep/rest defaults. Entries with structured technique also carry cues (what to think of during a set), safety (a concrete risk of this exercise; respect it when prescribing) and easier/harder (slugs one step back or forward in the same movement). in_user_catalog marks the ones this user has trained before. At most 25 entries per call; a narrower filter finds the rest.