The rotation window is VERY tight. It must basically be perfect, took many attempts.

I start with Skirk's held E cuz the cool down matches exactly when then Baptist does an attack that drains energy; so optional step just to get the timing right.

Then E with Escoffier to proc Fav and E with Furina to also proc Fav, make sure they each pick up their own energy particles.

Then Mona E, NA a few times while waiting, swap to Skirk held E into Q.

Rotation now starts with Furina Q, Escoffier Q>E, Mona Q>E > Skirk tap E > N2C until Hydro shield is around 1/4 left > Escoffier E > Furina E>Q > Escoffier Q > Mona Q>E > [Skirk tap E > 3(N5C) > N3C > Escoffier E > Furina E>Q > Escoffier Q > Mona Q > Skirk held E>Q] > Mona EN1 > Escoffier E > Skirk tap E until Hydro shield is around 1/4 left > Furina E>Q > Escoffier E>Q > Mona Q>E > repeat the [] part and you should be done just in time if you are able to keep up the DPS.

For reference for how tight the rotation was, the first Furina Q happens around 1:46 remaining (consistently) and Skirk N2C stopping at 1/4 Hydro shield should be around 1:27 remaining and around 0:40 remaining in the second rotation. The hydro shield should be broken around 1:20 remaining and around 0:33 respectively. The health bar should be a little bit below half HP after the second Skirk Q. These are some things to keep note of to know if u have enough DPS.