You can't run OBS on your Intel GPU and then use NVENC as an encoder, as that's a feature of your Nvidia card.
13:21:05.422: [NVENC encoder: 'simple_h264_stream'] Failed to open NVENC codec: Function not implemented
If this is a laptop and you're running on the Intel GPU to use Desktop capture, you'll have to use the QSV or x264 encoders.
:06:31.350: Adapter 0: Intel(R) HD Graphics 530
13:06:31.350: Dedicated VRAM: 134217728
13:06:31.350: Shared VRAM: 4248154112
13:06:31.352: Driver Version: 25.20.100.6373
13:06:31.352: output 0: pos={0, 0}, size={1920, 1080}, attached=true, refresh=60, name=
13:06:31.353: output 1: pos={1920, 0}, size={1920, 1200}, attached=true, refresh=59, name=EPSON PJ
13:06:31.353: Adapter 1: NVIDIA GeForce GTX 950M
13:06:31.353: Dedicated VRAM: 2117992448
13:06:31.353: Shared VRAM: 4248154112
13:06:31.354: Driver Version: 22.21.13.8205
13:06:31.374: Loading up D3D11 on adapter Intel(R) HD Graphics 530 (0)