fix: Clicking on the Search tab should return to the search card

[g123k]

Hi everyone,

I've a bit reworked how the Carousel is managed externally (basically the controller is not available outside the Widget).
It means we can change the tab and thus go back correctly to the search card when we tap on the Search tab.
I've also ensured to minimize the calls to dependOn, as it was clearly not needed.

I've also renamed InheritedDataManager with ExternalCarouselManager which is more relevant.

It should fix #4369

[codecov-commenter]

Codecov Report

Merging #4403 (d47c34f) into develop (05850f3) will increase coverage by 0.00%.
The diff coverage is 0.00%.

@@           Coverage Diff            @@
##           develop    #4403   +/-   ##
========================================
  Coverage    10.17%   10.18%           
========================================
  Files          295      295           
  Lines        15045    15033   -12     
========================================
  Hits          1531     1531           
+ Misses       13514    13502   -12     

Files Changed	Coverage Δ
...e_panel/knowledge_panels/knowledge_panel_page.dart	0.00% <0.00%> (ø)
...ackages/smooth_app/lib/pages/carousel_manager.dart	0.00% <0.00%> (ø)
.../smooth_app/lib/pages/navigator/app_navigator.dart	0.00% <0.00%> (ø)
...ib/pages/onboarding/onboarding_flow_navigator.dart	0.00% <0.00%> (ø)
packages/smooth_app/lib/pages/page_manager.dart	0.00% <0.00%> (ø)
...p/lib/pages/product/common/product_list_modal.dart	0.00% <0.00%> (ø)
...smooth_app/lib/pages/product/new_product_page.dart	0.45% <0.00%> (ø)
...mooth_app/lib/widgets/smooth_product_carousel.dart	1.67% <0.00%> (+0.05%)	⬆️

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[github-actions]

You can test this PR on: Android