A message saying that QGIS does not have a suitable transform available (and is using a ballpark transform) indicates that there is a better transform available than that installed by the QGIS Standalone installer by default.
You can obtain updated grid shift files here (PROJ 7) or the updated legacy files (e.g., europe, north america, etc..)
Best Answer
This is a known bug in 3.22, see https://github.com/qgis/QGIS/issues/45470 and https://github.com/qgis/QGIS/issues/44061, that is caused by PROJ.
One workaround could be to build the project from beginning in 3.22.
Or wait for the next Version (hopefully 3.22.4) since it looks like the bug is found and fixed.