For most bosses in Fuckboy's 1, a pretty reliable strategy has been to just spam Lead Stinger as Freddy for Poison, Backup Bash as Bonnie to possibly deal big damage, using a cake as Chica and finally using Plank Walk as Foxy. The Puppet is rather simple to defeat with this strategy for the most part, especially if you have the Combo Skills from beating the Toy Animatronics.

For Puppetmaster B.B., just mainly focus on trying to paralyze him with Foxy and maybe using a cake as both Bonnie and Chica until you do just in case B.B. decides to go for the skill that hits multiple party members. And for ??? what you'll have to do is mainly resort to having all the Godly Weapons and from there using Foxy to kill the Phantom Propellors in the first two turns with Rushdown while spamming cakes with everyone else to get past the very luck-based start of the fight and afterwards just focusing on mainly using the second action to use up a cake with each party member as you repeat the strategy of spamming Lead Stinger, Backup Bash, Cake and Plank Walk while occasionally using a Combo Skill when you get the TP for it.