Building or Residential Contractor License limits you in some specific kinds of building, but General Contractor (GC) does not. Obtaining the GC License will give you the permission to construct, repair, alter, remodel, or improve any structure or building type. If you are a licensed Building or Residential contractor with 4 year-experience, you are eligible to upgrade your license to a General Contractor. 
Here at The Exam Pros, we offer you the A-to-Z service including helping with the application process, book tabs and private tutoring for the exams, and insurance and bonds for your business. 

Method 1: "Upgrade method" for Certified General Contractor

A certified residential or building contractor holding an active current license for a minimum of 4 years in the classification in which he or she is certified. 

If you meet this eligibility requirement you are exempted form the Employment History section.

Method 2: "College Degree in Building Construction"

489.113 Qualifications for practice; restrictions.—
(1) Any person who desires to engage in contracting on a statewide basis shall, as a prerequisite thereto, establish his or her competency and qualifications to be certified pursuant to this part. To establish competency, a person shall pass the appropriate examination approved by the board and certified by the department. If an applicant has received a baccalaureate degree in building construction from an accredited 4-year college, or a related degree as approved by the board by rule, and has a grade point average of 3.0 or higher, such applicant is only required to take and pass the business and finance portion of the examination. Any person who desires to engage in contracting on other than a statewide basis shall, as a prerequisite thereto, be registered pursuant to this part, unless exempted by this part.