Conflicting advice here, but I wouldn't move the bridge forwards as the bridge pickup will then end up too near the bridge and the sound will become too thin.

You don't want to take anything off the back-end of the neck itself as that will leave the last fret unsupported and the fretboard overhang too long. It will then become very weak, with the chance that even a small knock will break off the end of the fretboard.

So extending the neck pocket would be my choice. Something that could be done with a Dremel and a drum sanding bit if you didn't want to try routing it. Or even done with some sharp chisels. The end of the pocket is covered by the fretboard overhang, so if you don't get it looking 100% perfect, you are unlikely to see it with the neck on.

The neck's a bolt-on one, and it looks like you've currently got 10mm or so of the flat section of the heel poking out from the front of the neck pocket, so you can move it back that amount without it looking odd.