[roger-zhangg]

Syncs the vendored RIE binaries to v1.37.

Which issue(s) does this change fix?

N/A

Why is this change necessary?

samcli/local/rapid/ vendors the RIE binaries that sam local invoke/start-api/start-lambda mount into the runtime container. They were last synced at 1.34 (#8827), so this picks up three releases:

• v1.35 — Lambda Metadata Service (LMDS) support
• v1.36 — automated sync
• v1.37 — Go version bump

Confirmed from the binaries themselves rather than the release notes alone: the embedded Go toolchain moves from go1.25.8 to go1.26.7 (go version -m), and 1.25.8 matches what #8827 recorded for 1.34.

How does it address the issue?

Replaces aws-lambda-rie-x86_64 and aws-lambda-rie-arm64 with the v1.37 release assets. No other changes — there is no version constant in the repo, the binaries are the only artifact.

What side effects does this change have?

None expected; this is the same binary swap as #8827 and #8561.

Verified before committing:

• SHA-256 of both committed files matches the release assets exactly.
• file confirms each is the right architecture (x86-64 and ARM aarch64), so the two are not transposed.
• go version -m reports the module path github.com/aws/aws-lambda-runtime-interface-emulator/cmd/aws-lambda-rie for both.
• Git recorded mode 100755 for both, so the missing exec-permission follow-up needed in chore(deps): update RIE to 1.31 #8561 does not recur.
• make pr passes (9401 unit tests, 94.09% coverage).

I could not run sam local invoke locally as Docker was unavailable, so the runtime exercise of these binaries is left to the integration tests in CI.

Mandatory Checklist

PRs will only be reviewed after checklist is complete

• Review the generative AI contribution guidelines
• Add input/output type hints to new functions/methods
• Write design document if needed (Do I need to write a design document?)
• Write/update unit tests
• Write/update integration tests
• Write/update functional tests if needed
• make pr passes
• make update-reproducible-reqs if dependencies were changed
• Write documentation

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.