The “Show/Hide Actions” button stops working

## Testmerges
#9894: 'Multiz indicator' by Detective-Google at commit 5dbc10a0d2
#7093: 'creates ipcheck subsystem' by hry-gh at commit 2a3e40559b
#9872: 'Multiz Bigred [MDB IGNORE]' by spartanbobby at commit bb10124ab1
#10529: 'Revert "Allows Queen Eye to look into tents (#10494)"' by realforest2001 at commit a70e338b85
#10465: 'New xenomorph boon (boost structures)' by Red-byte3D at commit 8d2f6fa829
#10567: 'Queen temporary maturity tweaks & Misc evolution tweaks' by Drulikar at commit abb17d3a5c
#10376: 'CIA Overhaul' by realforest2001 at commit 19cef110fb
#8878: 'Whiskey Outpost Xenofication' by Unknownity at commit 278edd8879
#10642: 'Almayer - Dwarf Nerf' by Nanu308 at commit 8d49d07800

## Round ID
29949

## Description of the bug
The “Show/Hide Actions” button in the “IC” tab stops working if a character has several identical icons and has already hidden one of them using this button. (For example, identical buttons if you equip a medHUD on the eye slot and a medHUD corpsman on the helmet slot).

## What's the difference with what should have happened?
The button should open the menu when you press it, not fail to work.

## How do we reproduce this bug?
1.) Wear advanced medicalHUD helmet visor.
2.) Wear HealthMate HUD
3.) IC tab - Show/Hide Actions - hide "research publications"
4.)Try to use Show/Hide Actions again

## Attached logs
```
N/A
```

## Additional details
- Author: Yachuk
- Admin: Nivrak
- Note: None

Reproduce the issue in the IC tab with the advanced medicalHUD helmet visor and HealthMate HUD, then trace the Show/Hide Actions entry point and its handling of duplicate icons. Done means the menu opens again after hiding “research publications” when identical action icons are present.

Written by the indexing model from the issue text.