fix(30348): profile sync can now be searched in settings

[vinnyhoward]

Description

Issue: Profile sync cannot be searched within our settings

Solution: Added necessary logic to support search for profile settings

Related issues

Fixes: #30348

Manual testing steps

1. Go to settings page
2. Search Profile Sync
3. Test different variations of the word profile sync

Screenshots/Recordings

Before	After

Before

NA

After

NA

Pre-merge author checklist

• I've followed MetaMask Contributor Docs and MetaMask Extension Coding Standards.
• I've completed the PR template to the best of my ability
• I’ve included tests if applicable
• I’ve documented my code using JSDoc format if applicable
• I’ve applied the right labels on the PR (see labeling guidelines). Not required for external contributors.

Pre-merge reviewer checklist

• I've manually tested the PR (e.g. pull and build branch, run the app, test code being changed).
• I confirm that this PR addresses all acceptance criteria described in the ticket it closes and includes the necessary testing evidence such as recordings and or screenshots.

[github-actions]

CLA Signature Action: All authors have signed the CLA. You may need to manually re-run the blocking PR check if it doesn't pass in a few minutes.

[metamaskbot]

Builds ready [2fb94fa]

• builds: chrome, firefox
• builds (flask): chrome, firefox
• builds (MMI): chrome
• builds (test): chrome, firefox
• builds (test-flask): chrome, firefox
• build viz: Build System
• mv3: Bundle Size Stats
• mv2: E2e Actions Stats
• storybook: Storybook
• typescript migration: Dashboard
• all artifacts
• bundle viz:

  • background: 0, 1, 2, 3, 4, 5, 6, 7, 8
  • common: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
  • ui: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
  • content-script: 0
  • offscreen: 0

Page Load Metrics (1657 ± 52 ms)

Platform	Page	Metric	Min (ms)	Max (ms)	Average (ms)	StandardDeviation (ms)	MarginOfError (ms)
Chrome	Home	firstPaint	1465	1893	1657	110	53
		domContentLoaded	1459	1862	1629	107	51
		load	1464	1872	1657	108	52
		domInteractive	20	132	45	30	14
		backgroundConnect	9	76	31	20	10
		firstReactRender	14	77	30	21	10
		getState	5	56	19	18	8
		initialActions	0	1	0	0	0
		loadScripts	1092	1365	1207	79	38
		setupStore	7	63	21	20	10
		uiStartup	1713	2175	1887	121	58

Bundle size diffs

• background: 0 Bytes (0.00%)
• ui: 239 Bytes (0.00%)
• common: 0 Bytes (0.00%)

[DDDDDanica]

LGTM !