Html – How do I maintain the position of a cart icon in the navbar between desktop and mobile?

I’m using Bootstrap and custom CSS to design a navbar that keeps the shopping cart icon on the right side of the bar on both desktop and mobile. No matter how I order the elements, I can’t seem to do this, and the CSS "order" property doesn’t appear to make a difference.

This is the mobile navbar, which has the desired layout:
Mobile navbar

This is the desktop navbar, which is wrong:
Desktop navbar

Here is my HTML:

<nav class="navbar navbar-expand-sm navbar-toggleable-sm navbar-light mb-3">
    <div class="container">

        <button id="nav-toggle" class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target=".navbar-collapse" aria-controls="navbarSupportedContent"
                aria-expanded="false" aria-label="Toggle navigation">
            <span class="navbar-toggler-icon"></span>
        </button>

        <a id="nav-header" class="navbar-brand" asp-area="" asp-page="/Index">
            <img alt="Home" src="placeholder.webp" />
        </a>

        <a id="nav-cart" class="nav-item nav-link text-light" asp-area="" asp-page="/Cart">
            <img alt="Cart" src="assets/shopping_cart_25x24.webp" />
        </a>

        <div id="nav-menu" class="navbar-collapse collapse d-sm-inline-flex justify-content-between">
            <ul class="navbar-nav flex-grow-1">
                <li class="nav-item">
                    <a class="nav-link text-light" asp-area="" asp-page="/Shop">Shop</a>
                </li>
                <li class="nav-item">
                    <a class="nav-link text-light" asp-area="" asp-page="/About">About</a>
                </li>
            </ul>
        </div>

    </div>
</nav>

Here is my custom CSS that sits on top of Bootstrap:

@media (min-width: 576px) {
    nav #nav-cart {
        order: 3;
    }

    nav #nav-menu {
        order: 2;
    }

    .nav-item {
        margin-bottom: -4px;
    }
}

nav {
    background-color: #a8d0b2;
    border-bottom: 1px solid #e5e5e5;
    box-shadow: 0 .25rem .75rem rgba(0, 0, 0, .05);
    flex: auto;
    font: lighter 1.5rem 'Buxton Sketch', sans-serif;
}

nav #nav-cart {
    order: 2;
}

nav #nav-cart img {
    max-height: 32px;
}

nav #nav-header {
    order: 1;
}

nav #nav-menu {
    order: 3;
}

nav #nav-toggle {
    order: 0;
}

.navbar-brand {
    font-size: 22px;
    white-space: normal;
    text-align: center;
    word-break: break-all;
}

Am I implementing this incorrectly, or is there something preventing this from behaving as intended?