According to the theory of relativity, when you observe objects moving relative to you at speeds close to the speed of light, you will perceive certain effects, including time dilation and length contraction.
In the scenario you described, where a near light beam and a far light beam pass in front of you, the near light beam would appear to move slower compared to the far light beam. This is because, from your perspective, the near light beam experiences less time dilation and less length contraction compared to the far light beam.
Due to time dilation, the clock associated with the near light beam would appear to tick slower compared to your own clock. As a result, the near light beam would appear to move in slow motion.
Additionally, length contraction would cause the length of the near light beam to appear shorter along the direction of its motion compared to the far light beam. This further contributes to the perception that the near light beam is moving slower.
Therefore, from your perspective, the far light beam would appear to move faster than the near light beam.