omnibox disappears when the `cookie consent` banner/toast appears while

Description:

When attempting to type into the omnibox right after the second browser restart while the cookie consent panel/toast is appearing, you'll get into a state where the omnibox will disappear but the OSK will still be visible. Typing into the OSK while in this state will re-display the area of the UI were the omnibox is usually located but won't be accessible/usable.

Steps to Reproduce

install/launch 1.46.2 (23.1.10.20) and run through the initial onboarding
once onboarding has been completed, start typing into the omnibox and enable Recent Search & Search Suggestions
load blizzard.com and restart the browser
right after restarting the browser, quickly tap on the omnibox and start editing/typing before the cookie consent panel appears

Actual result:

`Example`	`Example`

Here's an example video of the issue occurring (easier to understand when visually seeing it):

https://user-images.githubusercontent.com/2602313/213113098-218a4595-cbc9-430f-ae54-a6aa4fde1e04.mp4

Expected result:

The omnibox shouldn't be getting into a state where it's not visible when it should while the OSK is still visible/usable.

Reproduces how often: [Easily reproduced, Intermittent Issue]

100% reproducible using the STR/Cases outlined above.

Brave Version:

Can you reproduce this issue with the most recent build from TestFlight? Reproducible with 1.47 (23.1.17.15)
Can you reproduce this issue with the previous version of the current build from TestFlight? Reproducible with 1.46 (22.12.15.19)
Can you reproduce this issue with the current build from AppStore? Reproducible with 1.46.2 (23.1.10.20)

Device details:

iPhone 11 running iOS 16.2 - Reproduced

Website problems only:

did you check with Brave Shields down? N/A
did you check in Safari/Firefox (WkWebView-based browsers)? N/A

Additional Information

CCing @srirambv @iccub @Uni-verse

brave / brave-ios