Auto-launch the Info Sheet after a screenshot is captured? (by way of script, automation or app etc?)
It takes a few seconds to do its thing, but you can use a folder action.

If you are using Mojave or later, a destination folder for the screenshots can be set by using the Options menu of the Screenshot.app.

Create a folder action document in Automator, setting it to receive files added to the screenshot folder, and add a Run AppleScript action:

on run {input, parameters}
    repeat with anItem in the input
        tell application "Finder"
            activate
            open information window of anItem
        and tell
    end repeat

    return input
end run