If those are the Swiftech MC14 sinks, they are only rated for 5watts... I'd be concerned about not having enough heat sink in this situation.
TDA7240 is 65% efficient. So if it is puting out 10 watts (which is about the max into an 8 ohm load without too much distortion), then it will consume 15.38 watts. That leaves 5.38 watts to dissipate as heat.
Dissipation in a Class B amp is greatest BELOW maximum power output. At FULL signal, power comes in and goes out. At half power, a little less power comes in but much less power comes out.
Somewhere in that sheet is a curve showing dissipation peaking near 8 Watts at part power.
I'm not real concerned. Experience with FTC testing which holds an amp near maximum heat for many minutes proves that real-world dissipation is usually MUCH less, even in stage-amps. If you do skate too close to the edge, the chip will shut-down, you feel it and burn your finger, you have a clue to get a bigger sink.
CLEAN power in 16 ohms is 6 Watts (maybe 8W the way car and gitar amps are specced). There's probably a simpler path to 6 Watts in 16 ohms.... and maybe not, since Taylor's kit is so neat.
NewEgg specs:
"C/W: 9.0 (including TIM joint)
Maximum recommended heat load: 5 Watts per heatsink"Taking the first number: 8 Watts at 9 deg C per Watt is 72 deg C rise above ambient. On older discrete audio-amp devices we liked to stay below 50 deg C rise..... but seals and dice have improved a LOT, and the on-die thermal shuts-down on short-term events we may never have known about in the days of mercury thermometers.
The 5W at 9C/W or 45 deg C seems very conservative when this is the major heat-load in the box, but may be appropriate when you have a hot CPU and too much other stuff jammed into a small PC.
