If you are doing bargaining unit work, then, provided it is required by the terms of the collective bargaining agreement, you are required to pay union dues, regardless of the duration of your employment. The "they do not plan to represent me" portion of your question is really just an argument -- in fact, the terms and conditions of the temporary employment you will have are likely the result of prior representation by the union. New employees, however long the duration of their employment, pay for the past bargaining results of the union.
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