[BUG] Filters persist when creating new searches or switching indices

[msoler8785]

Describe the bug

When clicking "New" to create a new search any configured filters persist. They are also persisted when changing indices. This happens even though they are not pinned.

To Reproduce
Steps to reproduce the behavior:

1. Go to Discover
2. Create any filter
3. Click "New"
4. See filter persist.
5. Change Index
6. See filter persist.

Expected behavior

1. When a "New" search is created, all the unpinned filters are cleared.
2. When the selected index is changes, all unpinned filters are cleared.

OpenSearch Version
2.17

Dashboards Version
2.17

Plugins
kibana-enhanced-table

Screenshots
N/A

Host/Environment (please complete the following information):

• OS: Windows 11
• Microsoft Edge: 129.0.2792.52 (Official build) (64-bit)
• Firefox 130.0.1 (64-bit)
• Chrome: 129.0.6668.70 (Official Build) (64-bit) (cohort: M129 Rollout)

Additional context