Retrieve search results or queue a search for later retrieval. Supports Google engine with geotargeting by country, subdivision, and city. Returns structured SERP data. Pagination billing: call the first page normally and save billing.requestId from the Orthogonal /v1/run response. For later page, offset, or cursor calls on the same logical search, pass parentRequestId with unchanged non-pagination parameters. Valid continuation calls still get their own request IDs and quoted price, but are charged 0. Changing filters starts a new billable request.