Have you tried an impact wrench? They make great electric ones you can rent for cheap at the auto parts store, while you are there get the puller as well. Here is the video of the job being done on a similar car, the only difference will be the puller style. Also, I have left instructions for your car in the images below.
https://youtu.be/NZIMNkLxCMA
Check out the diagrams (below). Let us know what happens and please upload pictures or videos of the problem.
Images (Click to make bigger)
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Wednesday, September 7th, 2022 AT 2:31 PM