Studio: Display a more specific error message when the push process fails

[katinthehatsite]

Related issues

Related to STU-749

Proposed Changes

This PR adds more detailed message for the user when the database import fails during the Push process, writes to logs the error and provides further direction for the user in the message:

Logs:

Testing Instructions

• Pull the changes from this branch
• Use a Studio site with the broken database (you can break the database by, for example, putting a wrong data_type for one of the rows in one of the database tables so that SQLite to MySQL conversion breaks)
• Navigate to Sync tab
• Attempt a push process to one of your WP.com sites
• Confirm that you can see the error from the screenshot when the import fails
• For now, I left the wording like this but we can adjust it further if it is not clear enough

Pre-merge Checklist

• Have you checked for TypeScript, React or other console errors?

[github-actions]

📊 Performance Test Results

Comparing 27a0743 vs trunk

site-editor

Metric	trunk	27a0743	Diff	Change
load	9311.00 ms	9368.00 ms	+57.00 ms	🔴 0.6%

site-startup

Metric	trunk	27a0743	Diff	Change
siteCreation	17234.00 ms	26596.00 ms	+9362.00 ms	🔴 54.3%
siteStartup	5933.00 ms	5971.00 ms	+38.00 ms	🔴 0.6%

---

Results are median values from multiple test runs.

Legend: 🟢 Improvement (faster) | 🔴 Regression (slower) | ⚪ No change