G. K. Beale has generously mediated his recent ZNW article through a light rewriting of it in Themelios:

G. K. Beale, “The Background to ‘Fight the Good Fight’ in 1 Timothy 1:18, 6:12, and 2 Timothy 4:7.” Zeitschrift für die neutestamentliche Wissenschaft 113.2 (2022): 202–30.

G. K. Beale, “The Greco-Roman Background to ‘Fighting the Good Fight’ in the Pastoral Epistles and the Spiritual Life of the Christian.” Themelios 48.3 (2023): 541–51.

The Themelios article is freely available here. Here’s the abstract:

“What does Paul mean by the expression “fight the fight” in 1 Timothy 1:18 (NASB)? The Greek verb στρατεύω with the noun στρατεία can be also rendered “battle the battle,” or more generally “perform military service” or “serve in a military campaign.” This expression occurs often in Greco-Roman literature as a patriotic warfare idiom for good character revealed by persevering through warfare or military campaigns. It also occurs in legal contexts to affirm someone’s innocence and good reputation before the court. This idiom is applied to Timothy to demonstrate his good Christian character and reputation over against the false teachers’ bad character. Paul similarly exhorts Timothy to “struggle the struggle” (ἀγωνίζου τὸν καλὸν ἀγῶνα) in 1 Tim 6:12, which most commentators recognize to be synonymous with “fight the good fight” in 1:18 (cf. 2 Tim 4:7).”