So for firefox you basically need:
The Stream Detector which will give you a link to .m3u8 playlist
and something like
Live Stream Downloader where you can put .m3u8 playlist and it will download all .ts files and auto convert it to .mp4
When you have everything you go for some broadcast on pscp[dot]com/w/broadcastID or pscp[dot]com/username/broadcastID and at the end of link you specify a starting time point by adding ?t=0m01s at the end of URL.
If you made everything good go to HLS addon and instead of "dynamic_playlist.m3u8" you will see "playlist_somenumber.m3u8"
Left click on it to copy full link then open Downloader and paste link on Downloadable URL field, click add then Download, wait untill it will process whole file and it will ask to save it or save in default download directory.