There’s currently no official support from wakatime which provides automatic time tracking and report as long as you install it.
I’d suggest that we voice up and get Wakatime to support logseq! It is free and open source and has already been very popular in many many mainstream applications, inlcuding JetBrain family and Obsidian, among other famous applications.
I am not affiliated with wakatime in any way but I am a heavy user of Logseq. I’d really hope that there’s application that can track my time in logseq and requires no human input from myself.