I'm not getting tricky, I said be careful
. You can scribe a line and belt sand it or better yet take it to a millwork lumber yard and have them run it through a jointer. If you use a table saw cut the piece a couple feet longer so your hands stay away from the blade.
Do not try that butting up deal with caulk on the door, Everything gets tracked there and you need something to hold the floor down since it floats.
I may have a picture of the square nose solution. Only problem with that is if it runs under the door casing too, that piece is hard to get in unless you can slide it in from the side or cut in two pieces. Thats why i prefer something thin you can bend like a mini reducer ripped and flipped back wards or rip a t-mold in halves.