The Tesla appears to be a VV/VW mod with a max output of about 18 watts. If the mod is about 85% efficient then it would need the battery to produce about 21.2 watts of power at maximum ouput. Peak current on a regulated mod will occur just before low voltage cutoff, around 3.2 volts hopefully. At 3.2 volts about 6.63 amps will be drawn from the battery to produce the 21.2 watts of power needed. So with a 6.8 amp CDR battery like the Panasonic, you have ZERO safety margin. Add to that the already stated concerns about the battery's chemistry and that makes this battery unsuitable for your application.
A 20 amp CDR battery from AW, LG, or Samsung would work great and leave plenty of amp headroom. See Baditude's blog for finding a good high drain safe chemistry battery.
A 20 amp CDR battery from AW, LG, or Samsung would work great and leave plenty of amp headroom. See Baditude's blog for finding a good high drain safe chemistry battery.