Cruz may not have a CRBA and he would not need one to obtain a U.S. passport.
Foreign Birth Documents + Parent(s) Citizenship Evidence
If you claim citizenship through birth abroad to U.S. citizen parent(s), but cannot submit a Consular Report of Birth Abroad or Certification of Birth, you must submit all of the following:
Your foreign birth certificate (translated to English),
Evidence of citizenship of your U.S. citizen parent,
Your parents’ marriage certificate, and
A statement of your U.S. citizen parent detailing all periods and places of residence or physical presence in the United States and abroad before your birth.
https://travel.state.gov/content/passports/en/passports/information/secondary-evidence.html