Creating a smarter cut and paste to FX groups?

Here you go.
Try it for a bit to see if I missed something.
I made an improvement, in case there aro no destination tracks, now it wont cut and you'll get a warning.
I kept your original naming lines o you can use this script instead, just comment the "New naming" lines and uncomment the "Original Naming" line.

function scrollToTop() {

    const selectedDestTracks = sf.ui.proTools.selectedTrackHeaders

    if (selectedDestTracks[0]) {
        //Scroll to Top
        selectedDestTracks[0].trackScrollToView()
        selectedDestTracks[0].popupButtons.first.mouseClickElement({ isControl: true, isShift: true })

        // Double-ckeck if the track is in view
        const minY = sf.ui.proTools.mainWindow.buttons.whoseTitle.is("Edit Window View selector").first.frame.y
        const maxY = sf.ui.proTools.mainWindow.buttons.whoseTitle.is("Track List Show/Hide").first.frame.y
        if (selectedDestTracks[0].popupButtons.first.frame.y < minY ||
            selectedDestTracks[0].popupButtons.first.frame.y > maxY) {

            scrollToTop()
        };
    };
};



function prompt(item) {

    const formatItems = item.map(tr => ({ header: tr, name: tr.normalizedTrackName, comment: tr.textFields.first.value.value }))

    let prompt = sf.interaction.popupSearch({
        items: formatItems,
        title: 'Select',
        columns: [
            { name: 'FX Name', key: 'name', width: 50 },
            { name: 'Comment', key: 'comment', width: 50 },
        ],
    }).item;

    return prompt
};

function forceTrackViewWaveform(selectedTracks) {
    // Set waveform view if not
    const hasViewNotWaveform = () => selectedTracks.find(th => th.displaySelectorButton.value.invalidate().value !== "waveform") === undefined ? false : true;
    while (hasViewNotWaveform()) {
        sf.ui.proTools.trackVolumeToggle();
    };
}

function main() {
    sf.ui.proTools.appActivateMainWindow()
    sf.ui.proTools.invalidate()

    const selectedTrackHeaders = sf.ui.proTools.selectedTrackHeaders;
    forceTrackViewWaveform(selectedTrackHeaders);

    
    const selectedTracks = selectedTrackHeaders.map(th => th.normalizedTrackName);
    const folderTracks = sf.ui.proTools.visibleTrackHeaders.filter(x => x.title.value.endsWith("Folder Track "));
    const folderToMove = prompt(folderTracks)


    sf.ui.proTools.appActivateMainWindow();
    folderToMove.header.folderTrackSetOpen({ targetValue: "Enable" }, function () {

        // If folder size is too small, use popup menu to open folder
        const destFolderTrack = sf.ui.proTools.trackGetByName({ name: folderToMove.name }).track;
        destFolderTrack.trackScrollToView()
        destFolderTrack.popupButtons.whoseTitle.is("Track options").first.popupMenuSelect({
            menuPath: ["Open Folder"],
        });
    });
    sf.ui.proTools.invalidate()

    const trackTypeSymbol = folderToMove.name.split(" ")[1];


    //Original Naming
    //  const destTracks = selectedTracks.map(tr => folderToMove.name.split(" ")[1] + "." + tr.split(".")[1])
    ///

    //New Naming
    const destTracks = selectedTracks.map(tr => {

        const [fxTrack, type, n] = tr.split(" ");

        return `${fxTrack} ${type.split("").map(ch => ch.replace(ch, trackTypeSymbol)).join("")} ${n}`
    });
    /////


    let tracksExist = sf.ui.proTools.visibleTrackNames.filter(trackName => destTracks.includes(trackName)).length === selectedTracks.length
    if (!tracksExist) { log("No Track Found to Paste. Track Names Might Not Match."); return; }

    //Cut Selection
    sf.ui.proTools.menuClick({ menuPath: ["Edit", "Cut"] });

    // Select destination tracks
    sf.ui.proTools.trackSelectByName({ names: destTracks });

    // Paste Selection
    sf.ui.proTools.menuClick({ menuPath: ["Edit", "Paste"] });

    scrollToTop()

    sf.ui.proTools.trackSelectByName({ names: destTracks })

};


main();