Your log has no encoding session so I can't tell what's lagging. But some things that need attention & may help before you run the next test.
04:00:54.753: Game DVR: On > Off
You're running your monitor @ 240HZ but OBS is @ 144FPS. This will cause stuttering. If you want to record high FPS, dial it back & test OBS @ 120FPS.
04:00:55.284: base resolution: 1920x1080
04:00:55.284: output resolution: 1920x1080
04:00:55.284: downscale filter: Bilinear
04:00:55.284: fps: 144/1
04:00:55.284: format: NV12
04:00:55.284: YUV mode: Rec. 709/Partial
Fix these Scenes & get rid of all those Game Captures, only 1 per Scene.
04:00:56.089: - scene 'Games':
04:00:56.089: - source: 'Zelda BOTW' (game_capture)
04:00:56.089: - source: 'Minecraft' (game_capture)
04:00:56.089: - source: 'VALORANT' (game_capture)
04:00:56.089: - source: 'WarZone' (game_capture)
04:00:56.089: - scene 'Stream!':
04:00:56.089: - source: 'LIS BTS' (game_capture)
04:00:56.089: - source: 'mc' (game_capture)
04:00:56.089: - source: 'Valorant' (game_capture)
04:00:56.089: - source: 'ER' (game_capture)
04:00:56.089: - source: 'Alerts' (browser_source)
04:00:56.089: - source: 'Follower Goal' (browser_source)
04:00:56.089: - source: 'Chatbox' (browser_source)
