The CPU 65W rating is TDP - Thermal Design Power - and is meant to be an indicator of heat generation, not power draw.
Your power supply does not provide enough 12V.
Gamers Nexus 5600G Power Consumption
72W draw from the 8pin EPS 12V cable. Note that is CPU load only, as they were using a discrete graphics card. If you're using the IGP there is potentially additional power consumption, depending on workload.
As I said, my 5700G can draw up to 175W total system power when fully loaded both CPU/iGPU, that is Cinebench Multi-core and Furmark running simultaneously. This is my HTPC with APU, RAM, SSD and a DVD drive only. Obviously typical load will be much less, however you do not want to size your power supply based on minimal utilization, or you will likely trip the over current protection (if that PSU even has it) any time the processor see's above-average load.
Ryzen R7 5700X | B550 Gaming X | 2x16GB G.Skill 3600 | Radeon RX 7900XT
Ryzen R7 5700G | B550 Gaming X | 2x8GB G.Skill 4000 | Radeon Vega 8 IGP
Ryzen R5 5600 | B550 Gaming Edge | 4x8GB G.Skill 3600 | Radeon RX 6800XT