Restore filter in library and boards manager view between app stop/start

[kittaakos]

Describe the request

IDE2 should remember the query, type, and topic (where applicable) filters between app stop/start cycles.

Describe the current behavior

IDE2 does not restore the widgets. No query is specified. Hence, all items are visible in both widgets.

Arduino IDE version

20cc34c

Operating system

macOS

Operating system version

12.5.1

Additional context

No response

Issue checklist

• I searched for previous requests in the issue tracker
• I verified the feature was still missing when using the latest nightly build
• My request contains all necessary details