Update generate-password package

[chubes4]

Related issues

• Fixes CLI site creation fails when generating default admin password #3417
• Follows the upstream package release from generate-password: bump version to 0.2.0 for npm release wp-calypso#111381

Proposed Changes

• Update @automattic/generate-password from 0.1.0 to 0.2.0 in Studio and @studio/common.
• Update the lockfile to resolve the published 0.2.0 package.
• Remove the obsolete apps/studio/patches/@automattic+generate-password+0.1.0.patch patch now that the fix is published upstream.

Testing Instructions

• npx vitest run tools/common/lib/tests/passwords.test.ts
• npm run lint -- tools/common/lib/passwords.ts
• npm run cli:build
• node apps/cli/dist/cli/main.mjs site create --name "Generate Password 0.2.0 Evidence" --path "/var/folders/lr/c_cmmt7s0592m4njz99v5yb40000gn/T/opencode/studio-generate-password-0-2-0-site" --no-start --skip-browser --skip-log-details

AI assistance

• AI assistance: Yes
• Tool(s): OpenCode (GPT-5.5)
• Used for: Inspecting the upstream package-release context, applying the Studio dependency cleanup, and running targeted verification. Chris remains responsible for review and merge.

[wojtekn]

@chubes4 thanks for updating the package.

The change looks good, and it's expected to fail at this point:

notarget No matching version found for @automattic/generate-password@^0.2.0 with a date before 6/3/2026, 9:50:58 AM.

[wojtekn]

I rerun jobs as they should succeed now.

[wpmobilebot]

📊 Performance Test Results

Comparing 5c39dbf vs trunk

app-size

Metric	trunk	5c39dbf	Diff	Change
App Size (Mac)	1358.03 MB	1358.04 MB	+0.01 MB	⚪ 0.0%

site-editor

Metric	trunk	5c39dbf	Diff	Change
load	1644 ms	1666 ms	+22 ms	⚪ 0.0%

site-startup

Metric	trunk	5c39dbf	Diff	Change
siteCreation	9029 ms	9055 ms	+26 ms	⚪ 0.0%
siteStartup	4416 ms	4421 ms	+5 ms	⚪ 0.0%

---

Results are median values from multiple test runs.

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