115.601. Recount authorized when less than one percent difference in vote—recount, defined.
1. Any contestant in a primary or other election contest who was defeated by less than one percent of the votes cast for the office and any contestant who received the second highest number of votes cast for that office if two or more are to be elected and who was defeated by less than one percent of the votes cast, or any person whose position on a question was defeated by less than one percent of the votes cast on the question, shall have the right to a recount of the votes cast for the office or on the question.
2. In cases where the candidate filed or the ballot question was originally filed with an election authority as defined in section 115.015, such recount shall be requested in accordance with the provisions of section 115.531 or 115.577 and conducted under the direction of the court or the commissioner representing the court trying the contest according to the provisions of this subchapter.
3. In cases where the candidate filed or the ballot question was originally filed with the secretary of state, the defeated candidate or the person whose position on a question was defeated by less than one-half of one percent of the votes cast on the question shall be allowed a recount pursuant to this section by filing with the secretary of state a request for a recount stating that the person or the person’s position on a question was defeated by less than one-half of one percent of the votes cast. Such request shall be filed not later than seven days after certification of the election. The secretary of state shall notify all concerned parties of the filing of the request for a recount. The secretary of state shall authorize the election authorities to conduct a recount pursuant to this section if the requesting party or his position on a question was defeated by less than one-half of one percent of the votes cast. The secretary of state shall conduct and certify the results of the recount as the official results in the election within twenty days of receipt of the aforementioned notice of recount.
http://www.sos.mo.gov/cmsimages/electionGoVoteMissouri/2015ElectionLaws.pdf
But with at most one delegate at stake, why would Cruz do that?