Script to Copy Active Layer name to a "Label" text layer and filter out numbers in the text

A question
if the level name has numbers
these are not reproduced

you can enter it in code for this

This will save a file to the same folder as the original file, and use the name of the current selected layer.

#target photoshop
var doc = activeDocument;
var curLayer = doc.activeLayer;

saveFile ()

function saveFile(){
       var idsave = charIDToTypeID( "save" );
        var desc626 = new ActionDescriptor();
        var idAs = charIDToTypeID( "As  " );
            var desc627 = new ActionDescriptor();
            var idEQlt = charIDToTypeID( "EQlt" );
            desc627.putInteger( idEQlt, 8 );
            var idMttC = charIDToTypeID( "MttC" );
            var idMttC = charIDToTypeID( "MttC" );
            var idNone = charIDToTypeID( "None" );
            desc627.putEnumerated( idMttC, idMttC, idNone );
        var idJPEG = charIDToTypeID( "JPEG" );
        desc626.putObject( idAs, idJPEG, desc627 );
        var idIn = charIDToTypeID( "In  " );
        desc626.putPath( idIn, new File( doc.path +'/'+curLayer.name+'.jpg' ) );
        var idDocI = charIDToTypeID( "DocI" );
        desc626.putInteger( idDocI, 221 );
        var idCpy = charIDToTypeID( "Cpy " );
        desc626.putBoolean( idCpy, true );
        var idsaveStage = stringIDToTypeID( "saveStage" );
        var idsaveStageType = stringIDToTypeID( "saveStageType" );
        var idsaveSucceeded = stringIDToTypeID( "saveSucceeded" );
        desc626.putEnumerated( idsaveStage, idsaveStageType, idsaveSucceeded );
    executeAction( idsave, desc626, DialogModes.NO );
    }

Stephen, pretty good, but the OP wanted also stated that the label text layer could or could not exists, so you need to add some code to check if that layer does exist:

#target photoshop
var myDoc = app.activeDocument;
var myRulers = app.preferences.rulerUnits;
app.preferences.rulerUnits = Units.PIXELS;
var myLayerName = myDoc.activeLayer.name.replace(/\d+|^ +| +$/g, '').replace(/ +/g, ' ');
try{
    var myLayerText = myDoc.layers.getByName('Label');
    var myText = myLayerText.textItem;
    }
catch(e){
    var myLayerText = myDoc.artLayers.add();
    myLayerText.kind = LayerKind.TEXT;
    var myText = myLayerText.textItem;
    myColor = new SolidColor;
    myColor.rgb.red = 255;
    myColor.rgb.green = 0;
    myColor.rgb.blue = 0;
    myLayerText.textItem.color = myColor;
    myText.position = [10,20]; // Upper Left
    myText.justification = Justification.LEFT;
    myText.font = 'Courier';
    myText.size = 30;
    
    myLayerText.name = 'Label';
    }
finally{
    myText.contents = myLayerName;
    }
app.preferences.rulerUnits = myRulers;

I am pretty sure that this is not 100% what you are looking for as more info is required, however it is a start. It does not check for an existing text layer titled "Label" and will create a new one (I'm new to scripting so this is something that I'll need to look into deeper, perhaps an if/else)...

#target photoshop
var myDoc = app.activeDocument;
var myRulers = app.preferences.rulerUnits;
app.preferences.rulerUnits = Units.PIXELS;
var myLayerName = myDoc.activeLayer.name.replace(/\d+|^ +| +$/g, '').replace(/ +/g, ' ');
var myLayerText = myDoc.artLayers.add();
myLayerText.kind = LayerKind.TEXT;
var myText = myLayerText.textItem;
myColor = new SolidColor;
myColor.rgb.red = 255;
myColor.rgb.green = 0;
myColor.rgb.blue = 0;
myLayerText.textItem.color = myColor;
myText.position = [10,20]; // Upper Left
myText.justification = Justification.LEFT;
myText.font = 'Courier';
myText.size = 12;
myText.contents = myLayerName;
myLayerText.name = 'Label';
app.preferences.rulerUnits = myRulers;