1st log has no output attempts.
The second log has you trying to encode using NVENC while running OBS on the Intel GPU.
10:55:53.618: Available Video Adapters:
10:55:53.620: Adapter 0: Intel(R) UHD Graphics 630
10:55:53.620: Dedicated VRAM: 134217728
10:55:53.620: Shared VRAM: 4213610496
10:55:53.620: output 0: pos={0, 0}, size={1920, 1080}, attached=true
10:55:53.620: output 1: pos={1920, 0}, size={1920, 1080}, attached=true
10:55:53.620: Adapter 1: NVIDIA GeForce RTX 2070
10:55:53.620: Dedicated VRAM: 4126146560
10:55:53.620: Shared VRAM: 4213610496
10:55:53.622: Loading up D3D11 on adapter Intel(R) UHD Graphics 630 (0)
10:57:09.040: [NVENC encoder: 'simple_h264_stream'] settings:
10:57:09.040: rate_control: CBR
10:57:09.040: bitrate: 2500
10:57:09.040: cqp: 0
10:57:09.040: keyint: 60
10:57:09.040: preset: hq
10:57:09.040: profile: high
10:57:09.040: width: 1920
10:57:09.040: height: 1080
10:57:09.040: 2-pass: false
10:57:09.040: b-frames: 2
10:57:09.040: GPU: 0
Your encoding settings have you trying to run NVENC on GPU 0, which is your Intel GPU. You can't do that. Either override which GPU OBS is launching on, or using advanced output mode and specify GPU 1 in the encoder settings.