Is Photoshop Bridge metadata template missing "copywrite info url" field

You can use a Photoshop or Bridge script to add the copyright URL string.

Here is a Bridge script:

#target bridge

if (BridgeTalk.appName == "bridge") {
    copyrightURL = MenuElement.create("command", "Add Copyright Info URL", "at the end of Tools");
}
copyrightURL.onSelect = function () {
    var thumbs = app.document.selections;
    if (!thumbs.length) return;
    if (ExternalObject.AdobeXMPScript == undefined) ExternalObject.AdobeXMPScript = new ExternalObject("lib:AdobeXMPScript");
    for (var a in thumbs) {
        var selectedFile = thumbs[a].spec;
        var myXmpFile = new XMPFile(selectedFile.fsName, XMPConst.UNKNOWN, XMPConst.OPEN_FOR_UPDATE);
        var myXmp = myXmpFile.getXMP();

        myXmp.deleteProperty(XMPConst.NS_XMP_RIGHTS, "WebStatement");
        myXmp.setProperty(XMPConst.NS_XMP_RIGHTS, "WebStatement", "www.mysite.com"); // your website URL
        
        if (myXmpFile.canPutXMP(myXmp)) {
            myXmpFile.putXMP(myXmp);
            myXmpFile.closeFile(XMPConst.CLOSE_UPDATE_SAFELY);
        }
    }
};

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

Ideally, the script would also apply a metadata template using the applyMetadataTemplate() code, however, I haven't worked that out so this is a 2-step process.

Maybe you should post on the Bridge Forum.