I don’t believe job applications have gender questions. Of if they do, they must be an option of not disclosing. You aren’t obligated to disclose your gender.
You could request a specific pronoun to be used when referring to you.
We have trans students, we and other students refer to them by a pronoun of their choice regardless of what their legal documents say. It takes time to get documents changed. No ones business what’s in their documents
Put nothing in the application. When offered a job tell them to refer to you as a male and he. Done.
It’s illegal for them to blab that your documents still say you are legally female. I call my coworkers by a pronoun they want me to use and I’d never ask to make sure their legal document matches. Legal document is for tax and a pay check purposes. That’s it