How to Maintain Texture Dimensions in Three.js When Scaling Mesh?

I am working on a Three.js project where I have a mesh object with a texture applied. The texture is a PNG file with dimensions 64x64.

Problem: When the dimensions of the mesh object change, the texture gets stretched in height and width, which distorts its appearance. I want the texture to maintain its original dimensions (64x64) regardless of the mesh's size.

When the mesh is 64x64

When the mesh is 16x07 (or anything other than NxN)

I have tried looking into texture properties and material settings in Three.js but couldn't find a way to keep the texture dimensions fixed while scaling the mesh.

How can I prevent the texture from stretching and keep it at its original 64x64 size when the mesh dimensions change in Three.js?

Here is how the meshObject & material is created
Material Creation

function _createMaterial(url: string): THREE.MeshBasicMaterial {
    let material = new THREE.MeshBasicMaterial();

    this.loader.load(url, (texture) => {
        texture.magFilter = THREE.NearestFilter;
        texture.minFilter = THREE.LinearMipMapLinearFilter;
        material.setValues({ map: texture });
    });
    return material;
}

MeshObject Creation

this._meshObject = new Utils3.myTHREE.Mesh(geometry, material);

The solution provided by Łukasz D. Mastalerz also makes sense, but for my use case, I eliminated the texture approach and used sprites.

Sprite creation:

    private static _createSprite(url: string): THREE.Sprite {
        let spriteMaterial: THREE.SpriteMaterial = null;
        let sprite: THREE.Sprite = new THREE.Sprite(); // Initialize the sprite
    
        this.loader.load(url, (texture) => {
            // Create a sprite material with the loaded texture
            spriteMaterial = new THREE.SpriteMaterial({ map: texture });
        
            // Assign the material to the sprite
            sprite.material = spriteMaterial;
    
            // Set the dimensions of the sprite
            sprite.scale.set(32, 32, 1);
    
            // Indicate that the sprite needs an update
            sprite.material.needsUpdate = true;
    
            // this.render(); // Uncomment if you need to render the scene after loading the texture
        });
    
        // Return the sprite, even if the texture is not done loading
        return sprite;
    }

The line,

// Set the dimensions of the sprite  
sprite.scale.set(32, 32, 1);

plays the important role of fitting the image inside the mesh object.

Here is the final result