After a heated battle with spectres I ended up stuck in a vertical wooden pole. Jumping, crouching, dashing etc... don't help, I can teleport to the town but when I teleport back I end up still stuck in the wooden thing again, it's kinda funny actually (you'd think someone less thick-headed than Wang would have thought of teleporting just one meter to the left or something).

Anyway, what are my options? Can I just ignore this mission (it's the third of the first batch of bounty missions so no big deal as far as I know) and start another one, can I restart the mission, or do I have to hunt for a noclip mode or cheat code? Any ideas?

Well looks like quitting and restarting the game fixes this, you respawn at the last checkpoint. Problem solved!

Edit: how do I mark this solved? Can I mark one of my own posts as the solution from galaxy?

No idea about doing it from within Galaxy, but you can most definitely mark your own post as the solution while browsing the thread via the website.