macOS Ventura 13.1
Illustrator 27.1

Export for Screens
Choose SVG format
Edit Format Settings for SVG (by clicking on gear icon)
Select SVG and set to the following:
Styling: Inline Style
Font: SVG
Images: Preserve
Object IDs: Unique
Decimal: 2
check both Minify and Responsive

The exported SVG should have the attribute data-name with the object's layer name. For example, a rectangle object filled with the color #f6b780 with the layer named 0006A should look like this in the SVG file.

<rect id="bddec359-1a3b-4c18-8500-9c0518f1a41d" data-name="0006A" x="1374.25" y="603.67" width="232.52" height="83.75" style="fill:#f6b780"/>

Instead the code is rendering like this when exported from Illustrator 27.1:

<rect id="uuid-b659132c-b20b-4f7a-a072-77b8809c18f2" x="1374.25" y="603.67" width="232.52" height="83.75" style="fill:#f6b780;"/>

It's also exporting with the XML tag before the SVG tag:

<?xml version="1.0" encoding="UTF-8"?><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 2250 1680">

It should not be exporting with the XML tag.