Update bottomsheet behaviour (uplift to 1.14.x)

[brave-builds]

Uplift of #6537

Approved, please ensure that before merging:

• You have checked CI and the builds, lint, and tests all pass or are not related to your PR.
• You have tested your change on Nightly.
• The PR milestones match the branch they are landing to.

After you merge:

• The associated issue milestone is set to the smallest version that the changes is landed on.

[kjozwiak]

Restarting macOS via https://ci.brave.com/job/brave-core-build-pr-macos/job/PR-6543/2/ due to build failing as per https://ci.brave.com/job/pr-brave-browser-pr6537_privacy_report_bottom_sheet_behaviour_1.14.x-macos/1/execution/node/174/log/.

01:22:51  [40215/43064] CXX obj/chrome/browser/ui/ui/chrome_web_ui_controller_factory.o
01:22:51  FAILED: obj/chrome/browser/ui/ui/chrome_web_ui_controller_factory.o 

test-browser failed on Win x64 due to GreaselionServiceTest.ScriptInjectionWithPrecondition failing as per https://ci.brave.com/job/pr-brave-browser-pr6537_privacy_report_bottom_sheet_behaviour_1.14.x-windows/1/execution/node/216/log/. However, this is a known intermittent failure and doesn't block uplift.

01:41:35  [  FAILED  ] GreaselionServiceTest.ScriptInjectionWithPrecondition, where TypeParam =  and GetParam() =  (2938 ms)
01:41:35  
01:41:35  [607/607] GreaselionServiceTest.ScriptInjectionWithPrecondition (3120 ms)
01:41:35  1 test failed:
01:41:35      GreaselionServiceTest.ScriptInjectionWithPrecondition (../../brave/browser/greaselion/greaselion_browsertest.cc:265)

test-install failed on Win x64 as per https://ci.brave.com/job/pr-brave-browser-pr6537_privacy_report_bottom_sheet_behaviour_1.14.x-windows/1/execution/node/240/log/. We usually like to get test-install passing but it's not the most reliable when it comes to stability. Other platforms passed without any issues and we've seen this failure happen on other PRs as well. Hence, not blocking uplift.

[kjozwiak]

@deeppandya macOS keeps failing init as per https://ci.brave.com/job/pr-brave-browser-pr6537_privacy_report_bottom_sheet_behaviour_1.14.x-macos/2/execution/node/104/log/. Assuming this one will need to get rebased.

[kjozwiak]

test-browser failed on Win x64 due to GreaselionServiceTest.ScriptInjectionWithPrecondition failing as per https://ci.brave.com/job/pr-brave-browser-pr6537_privacy_report_bottom_sheet_behaviour_1.14.x-windows/2/execution/node/216/log/. However, this is a known intermittent failure and doesn't block uplift.

19:13:50  [  FAILED  ] GreaselionServiceTest.ScriptInjectionWithPrecondition, where TypeParam =  and GetParam() =  (2866 ms)
19:13:50  
19:13:50  [605/606] GreaselionServiceTest.ScriptInjectionWithPrecondition (3040 ms)
19:13:51  [606/606] RewardsContributionBrowserTest.MultipleTipsProduceMultipleFeesWithVerifiedWallet (1311 ms)
19:13:51  1 test failed:
19:13:51      GreaselionServiceTest.ScriptInjectionWithPrecondition (../../brave/browser/greaselion/greaselion_browsertest.cc:265)

[kjozwiak]

Uplift into 1.14.x approved after deliberating with @brave/uplift-approvers. QA has verified the PR on Nightly as per #6494 (comment).