BTW, I just started to learn organosilicon in my advanced organic chemistry class, and just after class this problem happened to occur to me, which made me itch for a reaction related to the silyl groups. However, the C≡C-TMS groups didn't react, so I get the concept that C≡C-TMS is not so active as C=C-TMS, which usually acts as a nucleophilic reagent.
I still have some doubt. When the alcohol OH bound to BF3, which weakened the B-F bond and released F- (in equilibration), why wasn't the protected alkyne or the hydroxyl deprotected? As we know, Si-F bond is one of the most strongest sigma bond. On the other hand, the resulted water would react with BF3 thus leading to the formation of HF and B(OH)3, which undoubtedly would not only make the two groups deprotected but also destroy the catalyst of the reaction. But it seems that water was not removed from the reaction system, why?