Options for pushing out a door strike plate

[rancid bolt]

I have a door strike plate that isn't even near to catching, the lock is about half a cm away from even touching the strike metal, nevermind actually recessing and then locking inside the strike plate. This is due to the door being a good cm shorter than it needs to be, so I won't get a good door seal regardless

What options do I have for pushing out the strike plate or I guess extending the locking mechanism? Current idea seems to just stack a bunch of strike plates and screw them in together to create the recess via the strike plates rather than the wood which is way too far away to be useful

I don't really care about aesthetics and it's rented accommodation so I can't really be too destructive to the wall or door, looking for a quick hack job that's functional really.

[rare galleon]

I have made wooden shims that go under the strike plate to move it out the desired distance. You can make this look nice-ish depending how much effort you want to put in, and glue it in place permanently or screw it if you want to remove it later.

[junior sand]

You can shim it out with layers of cardboard, the kind attached to a pad of notepaper.

Use a Sharpie to color the edge to a desirable tint.