Assigning specific roles to a squad removes their job icon

### Testmerges

#8676: 'Tgui update 1' by Kashargul at commit ac0e520c52 #8770: 'Sorokyne Strata - Complete revamp - Begone Snow!' by Zenith00000 at commit 93574a9897 #8624: 'Centralized Overwatch Console' by SpypigDev at commit d2507d9dc3 #8836: 'Refactors unleash_flame procs' by Nihisohel at commit 21664873ff

### Round ID

_No response_

### Description of the bug

Assigning specific roles, such as a synth or SO, causes their job icon to disappear, making identification significantly harder.

### What's the difference with what should have happened?

The person assigned to a squad should keep their job icon

### How do we reproduce this bug?

1. Insert a shipside person's ID into the squad distribution computer
2. Place their hand on the scanner
3. Assign them to any squad
4. Notice their job icon is missing even after wearing the ID

### Issue Bingo

- [x] Issue could be reproduced at least once
- [x] Issue happened in a recent (less than 7 days ago) round
- [x] Couldn't find an existing issue about this (https://github.com/cmss13-devs/cmss13/issues)