The installation instructions for your dryer should tell you if you can switch to a 3 prong cord. With many, you can do that. They instructions should tell you how to make the change if it is allowed.
Current electrical code requires new wiring to be for a 4-prong outlet. But if you have an older 3-prong outlet, it is grandfathered.
Current electrical code requires new wiring to be for a 4-prong outlet. But if you have an older 3-prong outlet, it is grandfathered.