I agree with nebur. Go out near your 2min power PB and don’t throw in the towel at two minutes when it feels impossibly difficult. For me, I end up muscling through the end of hard 2-3min efforts with high torque and low cadence (out of saddle) and in the post-effort analysis I’m often surprised at what I was still able to produce.
Here’s an example of a segment I was really going for it (numbers not relevant, but dashed line is the segment average)… I went partially by feel and partially by 3s power I was trying not to watch too much. Looking at the lack of drop-off, I think I could have gone harder, but at the time I didn’t think I was capable of averaging that power, so continuing to look at my bike computer during the segment may have actually held me back.