[Metrics] Improve ManualOpenSearchRouter time performance

[rlinoz]

Objective

We want to improve the Open search modal performance metric.

Target: 400ms

You can check the current values and monitor progress at:
https://expensify.sentry.io/dashboard/226093/?environment=production&environment=adhoc&environment=dev&environment=staging&environment=development&statsPeriod=14d

Issue Owner

Current Issue Owner: @staszekscp

[staszekscp]

Hey! I'm Mariusz from SWM and I'm going to take care of this issue!

[melvin-bot]

@staszekscp Uh oh! This issue is overdue by 2 days. Don't forget to update your issues!