feat(2479): add client to outgoing payment and outgoing tests.

[koekiebox]

Changes proposed in this pull request

Please see logged issue: https://github.com/interledger/rafiki/issues/2479

Context

https://github.com/interledger/rafiki/issues/2479

Checklist

• [x] Related issues linked using fixes #2479
• [x] Tests added/updated
• [x] Documentation added
• [x] Make sure that all checks pass
• [ ] Bruno collection updated

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[sabineschaller]

Can we rename the PR title to also include incoming payments or to just talk about payments?