Allow searching params in nested values of the JSON Schema table

[antgamdia]

Summary
After #5412 is done, the param search box requires some improvements, as it only searches top-level params (not the nested ones).

Background and rationale
We just replicated the example of the new Table component we added, but we need to improve it.

Description
Allow searching nested params in the table search box.

Acceptance criteria

• The search box is able to find nested params.

Additional context
Related to #4917

[antgamdia]

Unfortunately, it seems like a bug in the filtering capabilities of the dependency we're using (see TanStack/table#4190 and TanStack/table#3828), but there's an open PR aimed at fixing it (TanStack/table#4376).

However, I guess we can still work around it in the meantime. We should be able to manually iterate over the rows, and mark as "passing the filter" every parent row having a matching child.
I'm a little concerned about the performance impact, but in my IRL test I don't notice any extra and unbearable waiting time.
Will send a PR soon.