feat(logs): add search filter (#2505)

* feat(logs): add search filter

* refactor(logs): move loading spinner inside log viewer

Inputting text in the search bar on the logs page would refresh the page
losing focus on the search bar.
This moves the loading spinner inside the log viewer, so that it is not
as disruptive as it would

* fix(logs): escape string for search filter

* chore: rebase

* fix(logs): suggested changes

overseerr-api.yml

@@ -2539,6 +2539,12 @@ paths:
             nullable: true
             enum: [debug, info, warn, error]
             default: debug
+        - in: query
+          name: search
+          schema:
+            type: string
+            nullable: true
+            example: plex
       responses:
         '200':
           description: Server log returned