[BUG] Last configured deployment string is populated in any open Starship browser tabs

[ben-astro]

Source: Astro Hybrid
Destination: Astro Hosted - Manual Migration
Airflow Version: RT 8.8.0
Starship Version: 2.0.0

Desktop (please complete the following information):

• OS: Mac
• Browser Chrome
• Version - unsure

Screenshots

Customer replicated it on a call with me watching:

1. Open Source Airflow A, go to Starship, grab & input deployment string for Target Airflow A, looks fine
2. In new browser tab, open Source Airflow B, go to Starship, grab & input deployment string for Target Airflow B, looks fine
3. Navigate back to tab for Source Airflow A, Starship now shows Target Airflow B deployment string

Logs
N/A

Additional context
Not a blocker issue, as customer can simply migrate one Airflow at a time, but he was confused why the Airflow URL string between source & target Airflows kept breaking/changing when switching around different tabs.