My understanding is this has all been verified in particle accelerators up to 0.9999999c and beyond ?
I'm an accelerator physicist, just so you know.
Secondly, we don't measure "mass". We only obtain mass based on the measurement of something else. If I send a stream of particles into a dipole magnetic field and measure the "bending" amount, what I get DIRECTLY is the MOMENTUM. It is only after applying some physics will I be able to extract the "mass" of the object.
You are exhibiting a bit of stubbornness here in the sense that you haven't shown any indication that you've read the sources you've been given. The fact that there were at least 2 different links given to you that CLEARLY indicated why the concept of "relativistic mass" can be problematic somehow appeared to have been ignored.
If you ever get into trouble later on due to your insistence of using this concept, please note THIS DAY where you have been warned.