hello and welcome to the forum!
i didn't knew about this ts files but i did a small search and found many tools to converting form and to ts format
if this is right, probably any video converter on linux will do the job, convert the ts to mp4 by using ffmpeg or avidemux or winff, all of them present on linux and some in windows, also could be useful to try a win tool in linux by using wine but this should be your last choice
the file, can you try it with vlc? vlc also can convert files to another format
i also found this command but i don't have a ts file so i can't test it
ffmpeg -i input.ts -vcodec copy -sameq -acodec copy -f matroska output.ts
this in console will convert the ts to a mkv file, more friendly and with little quality loss
in another lace i found that the .ts can be renamed to .mp4, it is just a weird extension that doesn't matter much, also worth to try