A word or idiom to describe an attempt to win an argument [duplicate]

The OP's minute factual point, irrelevant, at the very bottom of the list of things to be considered, splitting hairs or nitpicking lead me to suggest:

quibble (n.)

1: An evasion of or shift from the point
2: A minor objection or criticism m-w

A quibble is a small and unimportant complaint about something.

These are minor quibbles Collins

quibble (v.)

To complain or argue in a trivial or petty manner Wiktionary

She was a great one for quibbling, detecting inconsistencies, splitting hairs. A. P. Chekhov, Ronald Hingley; The Oxford Chekhov, Vol.7, p.114

Many of the things I say in this review have a tendency to be expressed in a somewhat negative manner pointing out minor imperfections in what is being described. Behind all these quibbles is a general feeling that the Initiative has successfully made many very many people aware... Michael Pool; "Review of the Awareness and Training Activities of the Initiative: in M. R. Jane et al.; Transputer Applications

Because you've bothered to do the writing, the other party is appreciative. They tend not to be picayune or quibble over lesser points. Even if your write-up contains some minor imperfections, most people will be magnanimous and not engage in hair splitting. Herb Cohen; You Can Negotiate Anything

When making a point, stay with it and pursue it objectively without quibbling over minor items and becoming sidetracked. John H. Metzler; Collective Negotiations