shouldn't be a problem taking out the link, I've done it many a time.According to the OEM Service Manual the correct adjustment for the 1050 Tiger = 35-40 mm. Note that 40 mm = 1.574798 inches: In other words a little over 1.5 inches.
While the Triumph recommends 35-40 mm for the 1050 Tiger, for many superbikes with limited rear travel it is as little as 25 mm. Indeed, even the latest Speed III is 21-30 mm.
The OEM drive chain has a riveted link. As far as I am aware Triumph fit RK chain. If you intend taking out a link, it would be my suggestion that you obtain the exact replacement and use the proper riveting tool. I use the DID tool. It is in my opinion the best on the market. Others of course are free to differ