Can I have multiple INSERT statements following the same WITH statement [duplicate]

Question

I am defining a new WITH statement as newStaff, and then I am taking that data and filling it into other tables. It doesn't seem to let me reference my newStaff table more than once with a FROM statement. SSMS tells me newStaff is an invalid object name on the second INSERT statement.

WITH newStaff AS (
  SELECT
    dat.staffnumber,
    dat.firstname,
    dat.middlename,
    dat.lastname,
    dat.suffix,
    dat.sex,
    dat.birthdate,
    dat.race
FROM dataTable dat
WHERE 1=1
 AND dat.staffnumber is not null
)

INSERT INTO newStaffNameTable(
  staffID,
  firstname,
  middlename,
  lastname,
  suffix)
SELECT
  ns.staffnumber,
  ns.firstname,
  ns.middlename,
  ns.lastname,
  ns.suffix
FROM newStaff ns
WHERE 1=1

INSERT INTO newStaffDemographicTable(
  staffID,
  gender,
  birthdate,
  race)
SELECT
  nsdem.staffnumber,
  nsdem.sex,
  nsdem.birthdate,
  nsdem.race
FROM newStaff nsdem
WHERE 1=1