Dumb Q, re: placing cut card

I don't claim to be an expert on this.

Let's say you see a Ten on the back of an 8-deck shoe. Do you try to cut deep and push this card to the front? Estimate the number of cards til it emerges. I'm very bad on calling it the 50th card vs 60th card, etc. So, I don't get much value out of doing this. Early in the shoe, you normally won't have a +EV count (independent of this stray Ten).

Is it better to just cut to the middle and know there is an "extra" ten waiting for you. More likely to have a +EV count mid-deck. So, a multi-unit bet may come home to roost.

I know it's a dumb Q. Any experienced player response is appreciated.