Fixes character slots not updating (#96808)

## About The Pull Request

Moves `"character_profiles"` out of `ui_static_data()`. We already have
the `tainted_character_profiles` to prevent unnecessary updates, and
this data is not static.

<details><summary>Before, button doesn't update</summary>

<img width="661" height="629" alt="061mR8KEUA"
src="https://github.com/user-attachments/assets/4fc362f5-25e8-42a3-a0f0-4e17418506fd"
/>

</details>

<details><summary>After</summary>

<img width="679" height="639" alt="dreamseeker_vpIRPDgDKp"
src="https://github.com/user-attachments/assets/42f5457c-f471-468b-a391-87a8762d44bd"
/>

</details>

<details><summary>Deletion is functional and updates as well</summary>

<img width="568" height="559" alt="obZYCZ5A1K"
src="https://github.com/user-attachments/assets/a5a375fe-84ca-4b52-99fb-095c149a9c4c"
/>

</details>

<details><summary>Quirks update when switching slots</summary>

<img width="920" height="770" alt="mJJGxYTvPj"
src="https://github.com/user-attachments/assets/6260a862-e59d-4fc7-9ff8-3140e7122283"
/>


</details>


## Why It's Good For The Game

Fixes a bug/oversight

## Changelog

🆑
fix: in prefs menu, changing your character name will now update your
slot button correctly
fix: fixes an issue where switching slots would carry over the quirks of
a previous slot until you add or remove a quirk
/🆑

code/modules/client/preferences/middleware/quirks.dm

@@ -96,6 +96,7 @@
 
 /datum/preference_middleware/quirks/on_new_character(mob/user)
 	tainted = TRUE
+	preferences.update_static_data(user, always_instant = TRUE)
 
 /datum/preference_middleware/quirks/proc/give_quirk(list/params, mob/user)
 	var/quirk_name = params["quirk"]