Bush/Tree ID

definitely not a crepe myrtle.

I'd likely lean toward more of a fruit tree but they would have already bloomed.

I'd lean towards a citrus tree of some type. Although even in its infancy, some trees will fruit.

does it drop its leave in fall/winter?

Yes it does drop leaves.

ETA: after some googling from all of the suggestions, looks like maybe a lime tree?

I agree. Certainly looks like it could be a cherry tree. Thanks. I guess there would need to be another cherry tree in the general area in order to actually produce fruit, right?

persimmon? edit: nah, too much serration

Bradford pear?

Looks like something in genus Prunus (plum, cherry, etc)

I use this app called PlantSnap to ID random things. It helped me ID things I liked but didn’t know when I was installing my landscaping.

I used it for your zoomed in leaf picture and it came back as a Chokecherry (Prunus virginiana).

The bark and leaf looks like a Prunus or Malus. It's hard to tell from the pic but at the base of the trunk, it looks like it was a graft and that the original grafted stalk died or broke off and what you have now seems to be 3 suckers that shot off. It's hard to tell unless you have a close-up of that. You could possibly just have a rootstock of a fruit tree and it may or may not ever bear fruit. And if you do get fruit, it may not be what you're expecting.

For example, if you bought a Santa Rosa plum and the main leader broke off, died, etc. the root stock then may shoot off sucker and it could be anything. I've seen certain plums grafted to peach stocks.

This is very common with citrus too. I see it a lot here in Houston. You will see a large orange tree full of fruit but the orange will be more sour and bitter than a lemon. A Meyer lemon typically uses this orange rootstock.