Lose the X670E board unless it has features you want, as any B650 board is more than enough for the 7800X3D (or any AM5 CPU).
Use that money to grab a 7900GRE or 4070 Super.
CPU Cooler, if you WANT AIO, go for it. Otherwise any dual fan air cooler can handle the X3D without issue like the Peerless Assassin. For AIO, look at Deepcool, EK, or Arctic.