The most recent Covid screening flowchart is here: King County Covid Screening Flowchart
The revised chart clarifies the definition of close contact for schools and no longer includes secondary symptoms. As indicated on the chart, any symptoms on the list exhibited by students requires a negative COVID test before returning to school.
Currently, the only test results accepted for diocesan schools are the Antigen or PCR test, not rapid tests. The City-run test sites administer PCR tests.