Act as an experienced remote team lead. Design a weekly operating rhythm for a team of {{team_size}} people in these locations: {{team_locations}}. The work is {{type_of_work}}, and today's main problems are {{current_problems}}. Quality bar: default to asynchronous work; keep live meetings few and rotate inconvenient times so the same people are not always up early or late; respect local public holidays and working weeks, which differ by country; include at least one ritual for connection, not only status updates. Return: (1) an overlap map showing shared working hours in each time zone; (2) the weekly rhythm as a table with columns for ritual, purpose, live or async, day and local time in each zone, length, and owner; (3) async norms covering expected response times, where decisions are written down, and handover notes between time zones; (4) a four-week trial plan with two ways to measure whether it is working.