You could have tyre run-out, I had this last year when I switched wheels but kept the tyres from my old wheels. On acceleration it would pull left, decelerate it would pull right. If I switched tyres side to side it did the opposite! There are different types of run out that affect different things, Every tyre I think has a bit of this the coloured marks on a tyre when new tell a good tyre fitter where on the wheel & how to fit & balance the tyre I'm told. Mine was Radial runout I think, sounds like yours might be lateral?
Featured snippet from the web
Radial runout is where the radius of the tire is not consistent from the wheel midpoint to any point on the rim. ... Lateral runout is the amount of sideways motion or the amount of “wobble” in a wheel or tire as it rotates which feels like dynamic imbalance problem.
Been watching some videos on this tire runout (tire out of round). Found some videos of people measuring the tire with a dial indicator and classifying the wheel as "bad" while it doesnt even show it on the video that much. If id use that as a reference i would classify my left right tire as "bad" aswell and my left rear as "very bad".
Been to the garage today, i value their opinion also because the website i bought the tires from want some experts opinion along with the warranty claim (understandably).
They have time coming Saturday.