Changed deployment type msg from dag_only to dag_deploy

[rujhan-arora-astronomer]

Description

Changed deployment type msg from dag_only to dag_deploy

🎟 Issue(s)

Related #6119

🧪 Functional Testing

locally

📸 Screenshots

📋 Checklist

• Rebased from the main (or release if patching) branch (before testing)
• Ran make test before taking out of draft
• Ran make lint before taking out of draft
• Added/updated applicable tests
• Tested against Astro-API (if necessary).
• Tested against Houston-API and Astronomer (if necessary).
• Communicated to/tagged owners of respective clients potentially impacted by these changes.
• Updated any related documentation

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Comparison is base (f1066e0) 85.96% compared to head (1119a62) 85.96%.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #1528   +/-   ##
=======================================
  Coverage   85.96%   85.96%           
=======================================
  Files         112      112           
  Lines       14962    14962           
=======================================
  Hits        12862    12862           
  Misses       1265     1265           
  Partials      835      835           

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