Animating a closed Bezier path value > 1 in sequencer?

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I have a circular bezier curve with an object attached to the curve, following it as a path.
I am wanting to ramp up and down the speeds at certain times, however the issue I am facing is that after animating the path value to 1, it doesn’t continue to follow the path after that anymore.

I know I can re-set the keyframes to 0 every time I reach 1, however due to the ramping up and down the speed throughout this sequence, having to set things up this way would make things much more difficult to line up in terms of timing.

Are there any ways to have a closed bezier curve that’s being used as a path to animate continue to animate beyond a path value of 1?