There's multiple solutions which in spite of what others will no doubt tell you the only way to know is to try and listen and hear for yourself.
First of all let's make sure the problem with the holes isn't that the arm is in the wrong place. Use your preferred template or jig or tape to measure and locate the arm at the correct distance from the spindle.
Yes your double-sided tape trick will certainly work. Its quick and cheap and simple and the biggest disadvantage is how hard it will be to remove should you ever want to do that. Some arms can simply sit in the mounting hole, their mass and the hole holding them in place. That's the way my Conqueror works. No screws. Lifts right out. Before doing anything else you will want to check this. If the center of mass of your arm is over the mounting base and hole then it will stay put all by itself. The Reed has a lot of the arm off to one side, so it might need to be fastened to stay put. You want to check this because if this is the case then over time your tape will come loose its just a matter of time. The safe sure bet is to use the arm as a template mark with a pencil and drill new holes.
My preferred solution would be to get some fO.q tape, put that on the under side of the arm base, with another layer of fO.q tape on the table. Then drill your holes and screw the arm down, but only just snug not overly tight, and use a bit of fO.q tape to make some washers so the arm is held to the table in such a way it is practically floating held in place between the fO.q tape.
First of all let's make sure the problem with the holes isn't that the arm is in the wrong place. Use your preferred template or jig or tape to measure and locate the arm at the correct distance from the spindle.
Yes your double-sided tape trick will certainly work. Its quick and cheap and simple and the biggest disadvantage is how hard it will be to remove should you ever want to do that. Some arms can simply sit in the mounting hole, their mass and the hole holding them in place. That's the way my Conqueror works. No screws. Lifts right out. Before doing anything else you will want to check this. If the center of mass of your arm is over the mounting base and hole then it will stay put all by itself. The Reed has a lot of the arm off to one side, so it might need to be fastened to stay put. You want to check this because if this is the case then over time your tape will come loose its just a matter of time. The safe sure bet is to use the arm as a template mark with a pencil and drill new holes.
My preferred solution would be to get some fO.q tape, put that on the under side of the arm base, with another layer of fO.q tape on the table. Then drill your holes and screw the arm down, but only just snug not overly tight, and use a bit of fO.q tape to make some washers so the arm is held to the table in such a way it is practically floating held in place between the fO.q tape.