Removing the Torn Garment After Rending it at the Western Wall

When one rends his garment at the Western Wall, should he remain in the torn garment for the duration of his stay at the Wall, or can he remove it after the rending?

He can remove it after the rending.

The Talmud in Moed Katan 26a states, 'These are the rendings that are not sewn up: one who rends for his father, his mother, his teacher who taught him Torah, the Nasi (a leader), the head of the court, upon hearing bad news, upon hearing blasphemy, upon a Torah scroll that was burnt, upon the cities of Judah, upon the Temple, and upon Jerusalem, etc.'
Maimonides wrote in Laws of Fasting, Chapter 5, Law 17, 'All these rendings are done by hand and while standing, and one rends all the clothes he’s wearing until he reveals his flesh, and these rendings are never sewn up. However, he is allowed to stich them casually, and to sew them like ladders.' This is also the ruling of the Shulchan Aruch in chapter 561, §4. This is the opinion that rending for the Temple is equivalent to rending for one's father and mother.
However, the Raavad wrote there, 'All these rendings are done by hand and while standing. I cannot see this from the Talmud (Moed Katan 22) because we learned in a Tosefta that they only equated it to rending for one's father and mother in terms of sowing, but not in terms of using a tool (to cut), or rending all the clothes that are on him until he reveals his flesh — in this matter, they did not equate (the two rendings). But to rend outside in front of the people, only the Nasi was equated to this.' That is, his opinion is that rending for the Temple is equivalent to rending for other relatives (as opposed to one’s parents).
In practice, the Raavad's opinion that one does not need to rend so as to expose his flesh, and not all the garments, is the one that is followed. Authorities wrote that the custom is to follow Raavad’s opinion. Therefore, for one's father and mother, one is obligated to rend every garment he puts on during the seven days of mourning. However, for other relatives, if he changes his garment, he is not obligated to rend it, as explained in the Talmud in Moed Katan 22. And in Shulchan Aruch Yoreh Deah, ibid. Therefore, since the custom is to follow Raavad's opinion, one does not need to remain in the torn garment, and it is permitted to remove it immediately after the rending.