fix: Resolve build warnings, move test target, check in new test scheme

[ncooke3]

Merging into peterfriese/asyncsequences/firestore (PR #15363)

• Resolve build warnings in new test file
• Move test target so it applies to both binary and source Firestore targets
• Check in new test scheme
• Get these tests running in CI (feat: Run Firestore SPM tests for SPM binary job #15520)

#no-changelog

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[peterfriese]

LGTM!