chore(deps): bump SDK to v0.47.13-ics-lsm (backport #3078)

[mergify]

Description

Closes: #XXXX

Bump SDK to v0.47.13-ics-lsm (includes fixes from v0.47.11). It also bumps CometBFT to v0.37.5.

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Author Checklist

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please add links to any relevant follow up issues.

I have...

• Included the correct type prefix in the PR title
• Targeted the correct branch (see PR Targeting)
• Provided a link to the relevant issue or specification
• Reviewed "Files changed" and left comments if necessary
• Confirmed all CI checks have passed

Reviewers Checklist

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I have...

• Confirmed the correct type prefix in the PR title
• Confirmed all author checklist items have been addressed
• Confirmed that this PR does not change production code

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This is an automatic backport of pull request #3078 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 4d67e48 has failed:

On branch mergify/bp/release/v16.x/pr-3078
Your branch is up to date with 'origin/release/v16.x'.

You are currently cherry-picking commit 4d67e48.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	new file:   .changelog/unreleased/state-breaking/3078-bump-comet.md
	new file:   .changelog/unreleased/state-breaking/3078-bump-sdk.md

Unmerged paths:
  (use "git add/rm <file>..." as appropriate to mark resolution)
	deleted by them: .changelog/v16.0.0/dependencies/3062-bump-sdk.md
	added by them:   .changelog/v16.0.0/dependencies/3078-bump-comet.md
	added by them:   .changelog/v16.0.0/dependencies/3078-bump-sdk.md
	deleted by them: .changelog/v16.0.0/state-breaking/3062-bump-sdk.md
	both modified:   go.mod
	both modified:   go.sum

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally