clearing animal identity doesn't clear input box

[CinnamonLambda]

Describe the bug

When pressing a clear ('X') button next to the input boxes for animal identities, the data is removed from the user's profile as expected but the input box remains populated.

Reproduction

1. Fill any part of your animal identity
2. Press the clear button next to the input box you filled
3. The text box remains populated although the data is removed from the profile

Expected behavior

The text box is cleared to reflect the removal of the data from the user's profile, for consistency with other options in the account settings.

Platform and versions

1. OS: Linux Mint 22.3
2. Browser: Sable desktop app
3. Sable version: 1.19.1
4. Matrix homeserver: Continuwuity v0.5.10

Additional context

No response