Is it obligatory to perform ghusl again upon seeing "white discharge with another color like brown" immediately after ghusl from menstruation, knowing that it was followed by seeing the white discharge?

If the cessation of bleeding does not reach complete dryness, then the ghusl (ritual bath) is not valid, and any yellow or brownish discharge is considered menstruation. A woman who is accustomed to seeing the white discharge should wait for it if she first observes dryness, because the white discharge is a stronger indication of purity. The ghusl must be repeated if it was performed before the considered purity, and the prayers that were performed with that ghusl must be repeated, unless she had performed ghusl again for menstruation or janaba (ritual impurity requiring ghusl). In that case, she only needs to repeat the prayers she performed after the white discharge and before the second ghusl.