To list all the glyphs and their counts used in a document from a specific font

I am trying to make a script to list all the glyphs by their names or IDs and their counts in a document. The glyphs should be listed by their names or IDs (not by Unicode) as each Unicode character has several alternate shapes and I want to get result for each and every alternate shape. I have tried but in vain. Here is my script that I am working on.

// Get the active document
var doc = app.activeDocument;

// Define an object to store the glyph name counts
var glyphCounts = {};

// Define the output file path
var outputFile = File("~/Desktop/GlyphCount.txt");
outputFile.open("w");

// Write the initial line to the file
outputFile.writeln("Glyph Counts for the font: Arabic Font 1");

// Function to process characters and count glyphs
function countGlyphs(character) {
    try {
        // Check if the character has glyphs
        if (character.hasOwnProperty('glyphs') && character.glyphs.length > 0) {
            var glyph = character.glyphs[0]; // Get the first glyph object
            var glyphName = glyph.glyphName; // Get the glyph name
            
            // Use a placeholder if glyphName is undefined
            if (!glyphName) {
                glyphName = "UnknownGlyph";
            }

            // Update the glyph count based on the glyph name
            if (glyphCounts[glyphName] === undefined) {
                glyphCounts[glyphName] = 1;
            } else {
                glyphCounts[glyphName]++;
            }

            // Debug output using alerts
            alert("Glyph: " + glyphName + ", Count: " + glyphCounts[glyphName]);
        } else {
            alert("No glyphs found for character.");
        }
    } catch (e) {
        // Log errors if glyph retrieval fails
        alert("Error processing character. Error: " + e.toString());
    }
}

// Loop through all stories (text frames) in the document
for (var i = 0; i < doc.stories.length; i++) {
    var story = doc.stories[i];

    // Loop through all characters in the story
    for (var j = 0; j < story.characters.length; j++) {
        var character = story.characters[j];
        var font = character.appliedFont.name;

        // Check if the character is from the specific font you're interested in
        if (font === "Arabic Font 1") {
            countGlyphs(character);
        }
    }
}

// Write the glyph counts to the file
for (var glyphName in glyphCounts) {
    outputFile.writeln("Glyph: " + glyphName + ", Count: " + glyphCounts[glyphName]);
}

// Close the file
outputFile.close();

// Notify the user
alert("Glyph count saved to " + outputFile.fsName);

Any help is greatly appreciated.