Template:Blockquote/styles.css

/* Make the attribution a block with uniform indent under the dash */
.templatequotecite .templatequote-cite {
    display: block;
    margin: 0;
    /* @noflip */
    padding-left: 2.3em;  /* every line (including wraps) starts here */
}

/* Keep total visual indent ~2.3em once the container adds its own padding */
@media (min-width: 500px) {
    .templatequotecite {
        /* you already have this; shown for clarity */
        /* @noflip */
        padding-left: 1.6em;
    }
    .templatequotecite .templatequote-cite {
        /* 1.6em (container) + 0.7em (child) = 2.3em total */
        /* @noflip */
        padding-left: .7em;
    }
}