Skus threading t3 (uplift to 1.63.x)

[brave-builds]

Uplift of #22228
Resolves brave/brave-browser#35933

Pre-approval checklist:

• You have tested your change on Nightly.
• This contains text which needs to be translated.
  • There are more than 7 days before the release.
  • I've notified folks in #l10n on Slack that translations are needed.
• The PR milestones match the branch they are landing to.

Pre-merge checklist:

• You have checked CI and the builds, lint, and tests all pass or are not related to your PR.

Post-merge checklist:

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

[kjozwiak]

Uplift into 1.63.x approved 👍 noplatform keeps failing which is a known issue as per https://bravesoftware.slack.com/archives/C7VLGSR55/p1708974451327989 and not related to this specific PR. Other platforms passed without any issues/failures.

QA has verified the PR on Nightly using 1.65.x as per #22228 (comment) & https://bravesoftware.slack.com/archives/C04KPE0BUDU/p1708937243287289?thread_ts=1708453456.617779&cid=C04KPE0BUDU.