In avcodec.h, the docs for AVCodecContext->framerate say:
encoding: May be used to signal the framerate of CFR content to an
encoder.
OBS is designed to always output Constant Frame Rate (CFR) content.
Instead of letting this be implied, let's explicitly set the framerate
per the docs.
Due to the timeout detection, we need to factor in the current pause
offset to prevent pause from affecting the timeout.
Closesobsproject/obs-studio#7313
