fix:migrated from custom state management to Lit's reactive props

[kmurugulla]

Test URLs:

• Before: https://da.live/apps/media-library#/aemsites/vitamix
• After: https://da.live/apps/media-library?nx=mlstate#/aemsites/vitamix

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Commits

• b7dfab0 ✅ (latest)

[kmurugulla]

Used Slicc for analysis with the following prompt when i have Media Library opened with main and state migrate branch

`I have two Media Library Tabs .

First one is with a branch where the code is depending on Lit State
Second with a custom state management
#318 has the changes i made
While this reduces number of lines of code , I want to confirm whether this is the worth clean up

-Without causing any regression
-how many lines of code are we saving
-Is depending on Lit state a better dev or design principle
-Are the operations like Search , Index , Incremental index ( you have to refresh the page to kick in incremtal index) is any faster
-Is opening the modal , or navigation is any faster
-We have the state being pushed into url to create deep links . Are those operations any faster .

Please test and give me report as a table to make the decision .`

And the report shows that custom state is much better

So closing this PR.