How to update upload an image and save in database with storage?

Why this code does not work?

public function update(Request $request, Category $category)
{
    $path = null;
    if ($request->hasFile('image'))
    {
        $file = $request->file('image');
        $nane = time();
        $extension = $file->getClientOriginalExtension();
        $fileName = $nane . '.' . $extension;
        $path = $file->storeAs('images/categories', $fileName);
    }
    $data = [
        'name' => $request->name,
        'latin' => $request->latin,
        'parent_id' => $request->parent_id,
        'image' => $path,
    ];
    $category->update($data);
    return redirect()->route('categories.index');
}

Category.php

protected $fillable = [
    'name',
    'latin',
    'parent_id',
    'image'
];

I added enctype="multipart/form-data" in my form tag now.

My code is does not uploads and does not save in database.

I tried in 10 hours but I did not solve my problem.