You may wish to contact the school in a positive manner and specifically request the test administration to be scheduled within a week after your child's 4th birthday. Doing so in writing, such as by e-mail, is generally recommended, as it is often helpful to have a "paper trail" of documentation for advocacy.
To clarify, do it by email,
with a follow-up paper copy, if you want to be certain it will be treated as a written notification by the school. Email "counts" as a written communication in many states, but the schools don't always know that, and why make yourself go through a lawsuit that you can avoid by spending less than a dollar?