Cherry-pick of #31913 for `12.16.1`.

Creating manual PR as patch required for
`@metamask/transaction-controller`.

Patch changes are cherry-picks of
[#5600](MetaMask/core#5600),
[#5635](MetaMask/core#5635), and
[#5637](MetaMask/core#5637), built from
[patch/transaction-controller-extension-12-16-1](MetaMask/core@patch/transaction-controller-extension-12-16-0...patch/transaction-controller-extension-12-16-1).

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