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Instead of thinking of the singularity as a discrete "point" in spacetime, think of the singularity as a gravitational wave in spacetime with no upwards limit to its frequency.
The expansion of the Universe is a natural consequence of a shared origin in a common space, a space which is not finite, but only appears to be due to the natural limits of human observation.
In accordance with the limits of observation, a wave in spacetime of sufficiently high frequency would be virtually indistinguishable from a "point", and consequently, we measure the "age" of the Universe to be approximately 13.8 billion years relative to a perceived "zero point".
However, because this point is not actually a point, but rather a gravitational wave with no upwards limit to its frequency, we can conclude that the Universe originates and expands from an infinite progression in spacetime. There is no "beginning of time", there only appears to be because observation is limited relative to the totality of the Universe, which is infinite by nature.