Is keeping two pebbles from Muzdalifah after performing the Hajj ritual something that necessitates getting rid of them, and is Muzdalifah considered part of the Haram?

Muzdalifah is one of the Mashāʿir (sacred landmarks) and lies within the boundaries of the Haram. It is called "Al-Mashʿar Al-Harām" (the Sacred Landmark). Nothing from the relics of Makkah or Madinah should be taken, except for Zamzam water, because the Sharia came to combat the veneration of such relics and the belief in their benefit. Scholars have differed regarding the ruling on taking soil and stones out of the Haram. The majority of Shāfiʿī scholars deem it forbidden if the intention is to seek blessings from them or venerate them. Whoever has taken something from the soil of the Haram should seek forgiveness, then return it to the Haram if able; if not, they should place it in any clean place.