Is saving with Bank AlJazira through the Utilities Company, whereby the company adds 10% monthly and it doubles to 100% after ten years, permissible or forbidden, especially since a previous fatwa mentioned its permissibility if it was in companies like Aramco and SABIC?

What you are promised in exchange for saving is permissible if the bank is Sharia-compliant, as it is a donation to encourage employees, provided that the bank does not benefit from the saved money. Otherwise, it is a loan that draws a benefit, which is unanimously forbidden.