chore: add permission to deploy fork preview workflow

[amanabiy]

Description

This is a follow up of the #4728. It adds the required permission to be used by the workflow call. The permissions added are similar to what we have in deploy-fork-preview.yml in actions.

Related links, issue #, if available: n/a

How has this been tested?

Review checklist

The following items are to be evaluated by the author(s) and the reviewer(s).

Correctness

• Changes include appropriate documentation updates.
• Changes are backward-compatible if not indicated, see CONTRIBUTING.md.
• Changes do not include unsupported browser features, see CONTRIBUTING.md.
• Changes were manually tested for accessibility, see accessibility guidelines.

Security

• If the code handles URLs: all URLs are validated through the checkSafeUrl function.

Testing

• Changes are covered with new/existing unit tests?
• Changes are covered with new/existing integration tests?

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.60%. Comparing base (4668872) to head (2315364).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #4731   +/-   ##
=======================================
  Coverage   97.60%   97.60%           
=======================================
  Files         950      950           
  Lines       30714    30714           
  Branches    11276    11275    -1     
=======================================
  Hits        29977    29977           
- Misses        690      730   +40     
+ Partials       47        7   -40     

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