[Feature Request]: Show search suggestions when triggering search in new window

[efb4f5ff-1298-471a-8973-3d47447115dc]

Guidelines

• I have searched the issue tracker for open and closed issues that are similar to the feature request I want to file, without success.
• I have searched the documentation for information that matches the description of the feature request I want to file, without success.
• This issue contains only one feature request.

Problem Description

1. Search for something
2. Click on the searchbar
3. See that search suggestions appear

VirtualBoxVM_pvwJxOedGa.mp4

1. Search for something while opening the search in a new window, SHIFT + Enter or SHIFT + Click on Search button
2. Click on the searchbar
3. See that no search suggestions appear

VirtualBoxVM_slV89WzS2F.mp4

4. Go to original window
5. See that search suggestions appear

VirtualBoxVM_pvwJxOedGa.mp4

Proposed Solution

Trigger suggestions search in the new window when the search bar receives text from the other windows

Alternatives Considered

None

Issue Labels

improvement to existing feature, ease of use improvement

Additional Information

No response