Add data-liberation-agent into Studio

[nightnei]

Related issues

Related STU-1510

How AI was used in this PR

Just to review and confirm that we can merge it without changes as the initial step.

Proposed Changes

The discussion - pfHvTO-1uh-p2#comment-1341
Let's keep the cloned codebase intact in the initial commit.
Later we will submit follow-up PRs to clean it up and adapt it to our use case (More details - pfHvTO-1uh-p2#comment-1341).

The reason is that the PR is already huge. If we start modifying the code as part of the migration, it will become nearly impossible to review.

Testing Instructions

• Assert that CI is green

[wpmobilebot]

📊 Performance Test Results

Comparing 25e3064 vs trunk

app-size

Metric	trunk	25e3064	Diff	Change
App Size (Mac)	1316.76 MB	1315.63 MB	1.13 MB	🟢 -0.1%

site-editor

Metric	trunk	25e3064	Diff	Change
load	733 ms	1120 ms	+387 ms	🔴 52.8%

site-startup

Metric	trunk	25e3064	Diff	Change
siteCreation	6499 ms	6514 ms	+15 ms	⚪ 0.0%
siteStartup	6575 ms	6568 ms	7 ms	⚪ 0.0%

---

Results are median values from multiple test runs.

Legend: 🟢 Improvement (faster) | 🔴 Regression (slower) | ⚪ No change (<50ms diff)

[borkweb]

I just did a file diff and things look good!