I have finally MASTERED Cait Sith - FINAL FANTASY 7 REBIRTH

Loadout below.
Special thanks to eauvni for being the first to clear Cait solo and show me the path to success.
Gjallarhorn
Cetran Bracer
Transference Module
🔵🟢Elemental+Lightning and Wind 🟣Luck Up 🟡ATB Boost 🟡Enemy Skill 🟡Chakra 🔴Gilgamesh
🔵🟢Elemental+Fire and Ice 🟣Skill Master 🟣Magic Up 🟣Strength Up 🟣First Strike 🟣Steadfast Block 🟣Precision Defense Focus
🔴Ability Critical Hit Rate Up 🔵Magic Attack Power +20 🔴ATB Limit 🟡Lucky Jockey
100 Luck translates to 20% Critical Hit Rate. With the folio Lucky Jockey (100 Luck while riding the moogle) plus the weapon trait Lucky Jockey, he's got 81% critical hit rate while riding the moogle. Add on the weapon trait Ability Critical Hit Rate Up and any ability I use while riding the moogle has a 91% crit chance. (except Fortune Telling, which seems to be a fixed 50% chance)
The Red Megaphone is an excellent weapon for Cait because of double Lucky Jockey and double Critical Hit Damage Up. It grants him 91% crit chance while riding the moogle which can be boosted to 100% with a Luck Up materia, along with an extra 20% Critical Hit Damage bringing him to 140%. It's a higher DPS weapon than Gjallarhorn but it doesn't have ATB Limit, which is essentially a 2nd Transference Module.
Gjallarhorn's ATB Limit comes in clutch in the Sephiroth fight because I get exactly enough limit gauge built up to limit break before octaslash. I could have just used götterdammerung to ensure I had limit break, but with eauvni's inspiration I wanted to see what Cait could do without it.