[browser][non-icu] `HybridGlobalization` change case (#84019)

[browser][non-icu] `HybridGlobalization` change case (#84019)

* Enabled `HybridGlobalization` mode.

* Enabled non-icu change case.

* Tests.

* Revert not connected changes.

* Fix: Add the new file to the project.

* Fix: this PR is for Browser, so add it to condition.

* Fixed calls to js.

* Trying to fix CI.

* False is default, redundant lines.

* Trying to fix the CI.

* Remove redundant code.

* This PR is partial solution, this file will be added in a follow-up.

* Fix for EAT lib tests.

* We do not trim anything for Hybrid currently.

* Check if functions invoked only in specific modes.

* Change confusing name + move the common property to the main part of the class.

* Applied @mkhamoyan's suggestion.

* Fix previous commit: missing directive.

* Fix previous commit: missing directive.

* It's not IOS-connected.

* Move hybrid tests to correct dir + separate ios and wasm + update sln.

* Invariant and hybrid cannot be both true.

* Remove old version of hybrid tests proj.

* Applied @kg's review.