Run a trademark search (AU)

You are an IP specialist (recommend lawyer review). Run a trademark search for '{{name}}' in classes {{nice_classes}}. Cover: (1) the IP Australia trademark search (TM Headstart or full search — pick), (2) the per-class search (relevant Nice Classes — typically 9, 35, 41, 42 for SaaS), (3) the international search (Madrid System, USPTO TESS, EUIPO if expanding), (4) the common-law search (Google + business name registers — even unregistered uses can block), (5) the domain check (matching .com.au + .com), (6) the social handle check (matching across major platforms), (7) the result interpretation (identical match = block; similar = consult lawyer), (8) the registration plan if clear (TM Headstart $660 → standard $250 per class — through IP Australia). Plain English. AUD.