https://www.grammaring.com/present-subjunctive
Present subjunctive
The present subjunctive is identical to the bare infinitive form of the verb in all persons, including the third person singular (no final -s). It is usually used in formal or literary styles:
Present subjunctive在所有人稱(包含第三人稱單數),均使用不帶to之動詞原型,這種句型通常用於正式與文學寫作
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After verbs such as INSIST, SUGGEST, RECOMMEND etc.
通常用於類似INSIST, SUGGEST, RECOMMEND等動詞後
Mike insisted that I try his new muffin recipe.
I suggest that your cousin apply(第三人稱單數,動詞也不+s) at once.
Carl was injured last week, and the doctor recommended that he not play(第三人稱單數,動詞也不+s) in the next match.
Again, the present subjunctive can be replaced with should + infinitive in less formal styles:
這種不帶to不定詞,可用 should + Verb 取代,為比較不那麼正式寫法
I suggest that your cousin should apply at once.