Remove markdown file update from version increment-cargo-version.sh (backport #27851)

[mergify]

This is an automatic backport of pull request #27851 done by Mergify.
Cherry-pick of 8f96a39 has failed:

On branch mergify/bp/v1.10/pr-27851
Your branch is up to date with 'origin/v1.10'.

You are currently cherry-picking commit 8f96a39e7.
  (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:   scripts/increment-cargo-version.sh

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   docs/src/developing/clients/jsonrpc-api.md

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

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[mergify]

automerge label removed due to a CI failure