09:12:00.500: CPU Name: Intel(R) Core(TM) i5-8250U CPU @ 1.60GHz
That is a 3 generation old mid-range-ish CPU, optimized for battery life, not the computationally demanding task of real-time video encoding.
As I mentioned already, you are VERY likely with that laptop and wanting to successfully stream, you are going to have to monitor hardware resource (CPU, GPU, RAM, etc) utilization to make sure you aren't maxing out your laptop out with your settings [Task manager’s Performance tab and/or Resource Monitor]
Drop to 30fps, and get your stream stable. And unless yours is the evangelical, band, high movement and you want folks to be able to watch slow motion in replay, no need for 60fps (that I'm aware of)
Why the lower output resolution?
09:12:01.447: video settings reset:
09:12:01.447: base resolution: 1280x720
09:12:01.447: output resolution: 960x540
side note - 6000 bitrate is overkill for that resolution and 30fps
oh... there it is... you are using WiFi... stop that... use a wired connection unless you want to have problems and not know why (get a USB ethernet adapter if need be)
Can you use WiFi... yes, with a bunch of caveats. Can you get lucky? yes... but you aren't... so, lets remove this very problematic situation... With advanced networking knowledge/expertise along with ability and willingness to remove ALL other WiFi devices from network, and move to a WiFi channel without lots of interference, very doable ... if you don't know what all that means... don't try... just go wired
I have a new PC, and record at 1080p but stream to FB at 720p/30fps at 5000 bitrate (and even that is overkill). Recording at 1 resolution and streaming at another means extra work, but my system can handle it. For you, having base resolution and output/stream resolution all be the same will reduce rendering workload