Does the new stucco or restored stucco have any waterproofing in them?
Most stucco that is bag supplied has waterproofing agents. There is cement that has waterproofing agents in them as well and should be part of the mason’s mix. The base coat should not have any waterproofing agents in them. This will cause an unacceptable bond in the next coat applied. Make sure no one tells you they can go right over a surface that is waterproofed. The bond will not hold in the long run. If the surface must be covered, then wire and a base coat of plaster must be installed. Only after drying can you apply the final coat.