By the early 1600s the RCC was already getting bored of the women burning machine they’d spent centuries building and polishing almost ex nihilo before the new world had even really properly considered burning women as a hobby.
Burning women was never a thing the RCC did with any regularity. Witches were tried as heretics, which in almost all cases were simply told to repent. Petronilla de Meath is unusual specifically because she wasn't given that option, along with all the bullshit Richard Ledrede did. There's no sense in relitigating a single trial from 700 years ago, but this was clearly not the result the RCC court system was supposed to produce, as evidenced by how it almost never produced it in other cases. In modern terms we'd call this a mistrial, and I'm pretty sure I could name similarly egregious ones from modern America (the keyword would be "black defendant") with equally lethal consequences.
Saint Petronilla de Meath was burned in 1324 as this clusterfuck was revving up.
If it was really "revving up," it'd have taken less than 100 years before the absolute shitshow of witch trials got started.
and cranked it up with bulls that helped embed hardcore misogynistic heresiology
Can you give an example of this? As far as I can find online the papal bull in question just says Church authorities could and should try witches for heresy. It's a complete nothingburger, since the Church itself would hardly punish any claimed witches in its entire history. They didn't get bored of burning women because this is simply not something they ever did regularly.
When the Malleus Maleficarum dropped in the late 1400's long before the Protestant schism, things went feral and infected all that stems from it.
This is when the witch panic starts, but to quote Wikipedia:
Witch trials were still uncommon in the 15th century when the concept of diabolical witchcraft began to emerge.
More Wikipedia:
The period of the European witch trials with the most active phase and the largest number of fatalities seems to have occurred between 1560 and 1630.[42][5] This period saw more than 40,000 deaths.
Keep in mind that the estimated number of "witches" executed was between 40 and 60 thousan, so we're looking at the vast majority of killings. And yes, the Reformation and Counter-Reformation were both in full swing by then.
So the upshot of all this is: The Catholic Church was mever a primary engine of prosecuting witches, which is why places where they were still in control of the justice system were also the safest from witch executions.