fix: NewIntegrationApp does not write default genesis to state (backport #21006)

[mergify]

Description

Closes: #18910

didnt notice baseApp begin and end blocker already use sdkCtx pass in NewIntegrationApp parameter, so initchainer should also use that instead of context from finalize block state

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Summary by CodeRabbit

• Chores
  • Improved clarity in the codebase by renaming the context variable for better identification.
• Bug Fixes
  • Resolved an issue with the NewIntegrationApp method that affected the initialization of the default genesis state, ensuring accurate setup for integration tests.

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This is an automatic backport of pull request #21006 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 6f1592d has failed:

On branch mergify/bp/release/v0.50.x/pr-21006
Your branch is up to date with 'origin/release/v0.50.x'.

You are currently cherry-picking commit 6f1592d3d.
  (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:
	modified:   CHANGELOG.md

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   testutil/integration/router.go

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

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