Power Armour despawns in the Institute.

I chose the Institute as my ending and wanted to bring the power armour there for easy access (i switched to survival mode) and after leaving it there and coming back it like despawned. it isn't there anymore. I left it right in the middle of the ground. So I'm somehow going to have to find a new X-01 power armour suit with a jetpack and everything again...If anyone knows how to get it back help me. I'm on PS4, and I don't use mods.