Fixes converted ads keep showing - 1.9.x

[tmancey]

Uplift of #5381
Resolves brave/brave-browser#9436

• 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]

@tmancey mind taking a look? Looks like init is failing on every platform after rebasing.

[kjozwiak]

Looks like macOS failed on test-browser as per https://ci.brave.com/job/pr-brave-browser-issues-9436-1.9.x/2/execution/node/499/log/.

04:19:27  [  FAILED  ] BraveRewardsBrowserTest.NotVerifiedWallet, where TypeParam =  and GetParam() =  (6247 ms)
04:19:27  [543/543] BraveRewardsBrowserTest.NotVerifiedWallet (6594 ms)
04:19:27  1 test failed:
04:19:27      BraveRewardsBrowserTest.NotVerifiedWallet (../../brave/components/brave_rewards/browser/rewards_service_browsertest.cc:2326)

Known issue that will be fixed via brave/brave-browser#9339 which doesn't block uplift.

macOS also failed test-install as per https://ci.brave.com/job/pr-brave-browser-issues-9436-1.9.x/2/execution/node/521/log/.

This is also a known issue which isn't blocking uplift and will be addressed via brave/brave-browser#9480.

[kjozwiak]

Uplift into 1.9.x approved after deliberating with @brave/uplift-approvers. QA verified the PR on Nightly as per #5381 (comment). Ensured that the issue was moved into the correct milestone.