Light of Foliar Incision is the closest fit on the game's own numbers: Lynette's kit multiplies ATK, and a weapon is ranked here on whether its ascension stat and its passive act on that stat. Absolution, Calamity of Eshu and Mistsplitter Reforged come next. No playtested ranking has been imported for Lynette, so this is arithmetic over the kit data rather than a damage measurement.
Run Desert Pavilion Chronicle on Lynette, with Viridescent Venerer and A Day Carved From Rising Winds behind it. Main stats are ATK% sands, Anemo DMG Bonus goblet, CRIT Rate / CRIT DMG circlet. Roll substats in the order CRIT Rate > CRIT DMG > ATK% > Energy Recharge.
Talent priority is Normal Attack > Elemental Skill > Elemental Burst. The Elemental Burst costs 70 energy, which is what an Energy Recharge target has to clear.
The strongest team is Tartaglia, Xiangling, Lynette and Bennett, built around Lynette: Anemo · Vaporize.