Autopickup marked from advance inventory manager doesnt saved. (it will reset when load the game)

### Describe the bug

Same issue as c;losed thread (Aug 25th) https://github.com/CleverRaven/Cataclysm-DDA/issues/82585
The autopick list doesnt saved when I load the game, I do save and quit, but it do nothing.

### Attach save file

[FUCKED WORLD-trimmed.tar.gz](https://github.com/user-attachments/files/23460576/FUCKED.WORLD-trimmed.tar.gz)

### Steps to reproduce

1. Open adv inv manager "/"
2. Highligh item you want to be auto pick up then press "p" while you highlight it.
3. Press esc and save & quit then close the game.
4. Open the game and load your latest save.
5. the item you mark as autopickup before, will no longer marked.

### Expected behavior

It still marked the item to be autopickedup

### Screenshots

_No response_

### Versions and configuration

OS : Win10 64Bit
Game Ver : Exp 2025-11-07-1337
Tileset : MSXMotto+
Ingame Leng : English
Mods :
"dda",
"package_bionic_professions",
"magiclysm",
"mindovermatter",
"xedra_evolved",
"DinoMod",
"megafauna",
"alt_map_key",
"bombastic_perks",
"extra_mut_scens",
"perk_melee_system",
"MMA",
"generic_guns",
"personal_portal_storms",
"no_npc_food",
"light_weariness",
"translate_dialogue",
"sorcerer"

### Additional context

_No response_

Start with the advanced inventory manager and reproduce the issue using the listed key sequence and attached save file. Trace how the autopickup mark is handled during save and load. Done means an item marked with “p” remains marked after saving, quitting, restarting, and loading the game.

Written by the indexing model from the issue text.