Agentic UI: Make the sidebar footer a direct Settings entry

[nightnei]

Related issues

• Fixes STU-2102

How AI was used in this PR

AI implemented the change following the direction of #4311, I reviewed and tested

Proposed Changes

When you click on Avatar in left bottom corner we should land users on Settigns page instead of dropdown.
We do it to unify behavior for logged-in and logged-out users, and all links in the dropdown are already available on the Settings page.
See testing instructions.

Testing Instructions

1. Run Agentic UI
2. Sign in - assert that you see your avatar and Settings label. Clicking on it should lead you directly to the settings page

BEFORE	AFTER

3. Log out 4. Assert that now you see the Settings icon insteadof avatar and click on it still leads you to settings page

BEFORE	AFTER

5. Open Settings page and assert that you see tooltips for "Docs" and for "Report an issue"

[wpmobilebot]

📊 Performance Test Results

Comparing 7c00029 vs trunk

app-size

Metric	trunk	7c00029	Diff	Change
App Size (Mac)	1375.46 MB	1381.97 MB	+6.51 MB	🔴 0.5%

site-editor

Metric	trunk	7c00029	Diff	Change
load	1046 ms	1078 ms	+32 ms	⚪ 0.0%

site-startup

Metric	trunk	7c00029	Diff	Change
siteCreation	7022 ms	6968 ms	54 ms	🟢 -0.8%
siteStartup	2350 ms	2351 ms	+1 ms	⚪ 0.0%

---

Results are median values from multiple test runs.

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

[bcotrim]

LGTM

Small suggestions:

1. There is no longer a link to the WordPress.com profile. Maybe intentional, but we had that link the menu. Maybe we could include it on the app settings account section?
2. Log in button in app settings is still available when offline (maybe pre-existing and it doesn't hurt since the browser will fail to open the page). It's a simple change so I would include it

[nightnei]

LGTM

Small suggestions:

1. There is no longer a link to the WordPress.com profile. Maybe intentional, but we had that link the menu. Maybe we could include it on the app settings account section?
2. Log in button in app settings is still available when offline (maybe pre-existing and it doesn't hurt since the browser will fail to open the page). It's a simple change so I would include it

Both are addressed