test(system): check feePayers signature (backport #22389)

[mergify]

Description

This is a follow up of #22311

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Summary by CodeRabbit

• Tests
  • Introduced a new test to validate transaction processing with a fee payer, ensuring proper handling of signatures and balance deductions.

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This is an automatic backport of pull request #22389 done by [Mergify](https://mergify.com).

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