Np, try using this custom css in the customizer or wherever you keep your global CSS.
/* PASSWORD PROTECTED PAGE STYLING */
.post-password-required {
padding: 200px 20px;
background: var( --e-global-color-primary );
color: #F9F9F9;
}
.post-password-required .post-password-form p {
justify-content: center;
}
You can get rid of everything but the padding if you want. I just thought it looked nice this way. Or, change the background and text color as you like. Note that background color is your global primary color set in elementor. If you change it in elementor it will change here too. I thought it being connected to the footer color would be nice.
Let me know if that helps.