Tie the survey to the construction drawings
Keep the current survey and planned work boundaries together. Ask who is responsible for updating the scope if the design changes, filing required notices, recording waste disposal and authorizing the next stage. The abatement schedule should allow for the requirements that actually apply to the property; neither a general building permit nor a contractor start date settles those questions.
Survey and project requirements in Washington
Puget Sound Clean Air Agency publishes separate guidance for renovation and demolition. Have the assessor and contractor confirm the survey scope, applicable notifications and disposal arrangements for the actual property and work. A building permit does not replace the asbestos assessment.
See the broader asbestos removal options at Federal Way Asbestos Removal.