I’ve had alignment issues on my Glowforge Pro since it was new in August 2020 (just a few months ago). The issues made it difficult to do a double-sided engrave and the results weren’t awesome, but I rarely needed a double-sided engrave, so deprioritized fixing it. Honestly, I was enjoying my Glowforge!
OK. If it’s not re-calibrating correctly during power up, then you have a different issue.
The head will re-center with an accuracy of within 1/1000". I’ve posted images before, but you can make a score, turn off the machine, manually move the head a little, then turn it back on and re-print - you shouldn’t even be able to tell there are two prints on top of each other.
Since your prints are landing more than ¼” away from where they were positioned in the preview, I recommend recalibrating the camera in your Glowforge to fix it.
You’ll need a 12” x 20” piece of Proofgrade material with no markings or stickers. The feature was designed to be used with a flat piece of medium Proofgrade Draftboard, used upside-down (with the QR code side down). It may work with other materials that are the same size and use the same print settings as well, like Proofgrade plywood.
It prints a grid of markings, takes a picture, then measures its height in multiple locations. This data is used to make your camera more accurate for future prints.
A jig is pretty much standard for something like a pencil since the length and the narrow target requires the pencil to be normally dead horizontal along the length of the engrave. You can use the camera but that assumes your pencil isn’t going to shift while engraving from the air assist.