Can a US citizen in Mexico apply for a Thai visa and COE to stay in Thailand during winter?

A US citizen currently in Mexico can apply for a Thai visa through the Thai consulate in Mexico City. They should inquire about obtaining a single entry tourist visa and may need to apply for the Certificate of Entry (COE) as well. It is essential to note any specific entry requirements, such as the potential need to have been in a designated country for a specified period prior to entry, which could affect their eligibility for certain visa options.