Let's just say I'm not going to trust any closed-source mRNA program (because that's what the Pfizer/Moderna vaccine is).
The mRNA sequences used in the vaccines are publicly available. For example:
https://www.ncbi.nlm.nih.gov/nuccore/OK120841.1The 'which we already knew' is especially comical in light of the fact that you argued vociferously that it as beyond a shadow of a doubt impossible for a long time.
Nope. Here's what I've actually said:
Yesterday: RNA can never integrate with DNA. Impossible.
Nice strawman. It's been known for decades that endogenous retroviruses exist, and indeed, up to 7 or 8% of the entire human genome is derived from virus RNA or DNA. The argument has always been that the vaccine does not cause reverse transcription and integration, and indeed the study you are quoting only shows that integration can happen with COVID infection, not vaccination.
So if you don't want COVID integration in to your DNA, time to get vaccinated.
To anyone who knows anything about ecology it will be obvious that evolution avoided pseudouradine as a base pair component for a reason.
To anyone who actually knows anything about biology, they will know that pseudouridine (spelt properly) is incredibly common and present in almost every organism on the planet.

Pseudouridine is the most abundant RNA modification in cellular RNA.
Also known as 5-ribosyluracil, pseudouridine is a ubiquitous constituent of structural RNA (transfer, ribosomal, small nuclear (snRNA) and small nucleolar), and present in coding RNA, across the three phylogenetic domains of life and was the first discovered.