I don't have Syd or a leveled Oily Slimeling, so I used a Disgusting Oozeling (2/2/1) in the first slot and Netherspawn, Spawn of Netherspawn (2/2/2) in the third slot.
Creeping Ooze > Expunge > Absorb until Azerite Slime dies
Creeping Ooze > Absorb until Disgusting Oozeling dies, bring in Legs
Pump > Pump and Azerite Geode died for me
Whirlpool > Mana Surge vs Azerite Elemental, then Legs died
Creeping Ooze > Expunge > Absorb until Azerite Elemental dies
It's a thing, though, and has come up before. Splitting battles into separate pages from different people has been wildly successful, but there is no really appropriate place now for passers-by to suggest a strat in comments. Yes, if somebody signs up, and takes an hour to rehearse the strat and enter all the steps, they can do that, but not everyone will have the motivation or confidence.
It took me three tries, so here's some comments on this fight:
1. Syd may die first due to crits; if he does, restart the fight. Legs doesn't have an easy weapon to take off the 10 pts remaining on Slime.
2. Double pump wasn't quite enough for Legs to win, so I dropped a whirlpool first, so that it dropped after the second pump. That did it.
3. Because of that, CD wasn't off so I could only Surge on the Elemental. However, my Oily Slimeling was up to the task (on the third try...)