I don't have a high density part, I'd be half temped to remap TIM3 on to PC7 and try that. TIM8 should connect right up on your part as best I can tell from here.
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It looks like the counter and the reloading is working just great from the Keil uVision tools. However, it looks like TIM8_CH2 is not connected to the actual pin (PC7).
How could I trace if the pin (PC7) is getting connected to TIM8_CH2. I can see that if I use PC7 as standard GPIO output pin I can toggle it easily. For some reason the mapping that connects TIM8_CH2 to PC7 is missing. I don't see anything obvious, but it might seem to be something in AFIO. I have already enabled the AFIO clock. The register values are the following:
The Timer 8 is not running. the TIM8_CNT not count...
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