Migrated Content

Copy source layer to clipboard, then select the destination layer/s and run this script (does not work with non-pixel layers):

/*
Paste Clipboard to Multiple Selected Layers.jsx
Stephen Marsh, v1.0 - 16th January 2022
https://community.adobe.com/t5/photoshop-ecosystem-discussions/paste-on-multiple-layers-at-once/td-p/12673987
NOTES:
Copy source layer to clipboard, then select the destination layer/s and run this script (does not work with non-pixel layers)
*/

#target photoshop

/***** Process Selected Layers from Jazz-y *****/
var s2t = stringIDToTypeID;
(r = new ActionReference).putProperty(s2t('property'), p = s2t('targetLayersIDs'));
r.putEnumerated(s2t('document'), s2t('ordinal'), s2t('targetEnum'));
var lrs = executeActionGet(r).getList(p),
    sel = new ActionReference();
for (var i = 0; i < lrs.count; i++) {
    sel.putIdentifier(s2t('layer'), p = lrs.getReference(i).getIdentifier(s2t('layerID')));
    (r = new ActionReference).putIdentifier(s2t('layer'), p);
    (d = new ActionDescriptor()).putReference(s2t("target"), r);
    executeAction(s2t('select'), d, DialogModes.NO);
/***** Process Selected Layers from Jazz-y *****/
    
    if (app.activeDocument.activeLayer.kind == LayerKind.NORMAL) {

        // Select All
        app.activeDocument.selection.selectAll();

        // Paste In Place
        var idpaste = stringIDToTypeID("paste");
        var desc1571 = new ActionDescriptor();
        var idinPlace = stringIDToTypeID("inPlace");
        desc1571.putBoolean(idinPlace, true);
        var idantiAlias = stringIDToTypeID("antiAlias");
        var idantiAliasType = stringIDToTypeID("antiAliasType");
        var idantiAliasNone = stringIDToTypeID("antiAliasNone");
        desc1571.putEnumerated(idantiAlias, idantiAliasType, idantiAliasNone);
        var idas = stringIDToTypeID("as");
        var idpixel = stringIDToTypeID("pixel");
        desc1571.putClass(idas, idpixel);
        executeAction(idpaste, desc1571, DialogModes.NO);

        // Merge Down
        var idmergeLayersNew = stringIDToTypeID("mergeLayersNew");
        var desc1573 = new ActionDescriptor();
        executeAction(idmergeLayersNew, desc1573, DialogModes.NO);

        // Deselect
        app.activeDocument.selection.deselect();

    } else {
        alert('The selected layer is not a "normal" pixel layer')
    }
}

https://prepression.blogspot.com/2017/11/downloading-and-installing-adobe-scripts.html

Is this related to your similar question which was discussed a few days ago?

https://community.adobe.com/t5/photoshop-ecosystem-discussions/how-to-draw-in-multiple-layers-in-photoshop/m-p/12673433