"Competitory" is a word in ENGLISH

competitory ENGLISH
Definition:

Acting in competition; competing; rival.

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competition ENGLISH

The act of seeking, or endeavoring to gain, what another is endeavoring to gain at the same time; common strife …

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race ENGLISH

Hence: The act or process of running in competition; a contest of speed in any way, as in running, riding, …

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rivalry ENGLISH

The act of rivaling, or the state of being a rival; a competition.

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winning ENGLISH

The act of obtaining something, as in a contest or by competition.

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