Describe the project you are working on
Not specific to any project.
Currently, we can't just search in the tons of output lines a code can generate cannot, just filter text.
Describe the problem or limitation you are having in your project
Many times, among lot's of lines, I'm looking for specific pattern AND what comes before or after, filter is no help here because cursor is always put back at the bottom when cleared, instead of staying where it was.
Describe the feature / enhancement and how it helps to overcome the problem or limitation
The search tool already exists in the code window and could be duplicated more or less as-is to be used in the output as well.
To avoid to much text area, there may be some options on the right of the text area so we can use search or filter.
Describe how your proposal will work, with code, pseudo-code, mock-ups, and/or diagrams
It would be just like the existing filter, except it will behave like the search box from the code editor.

If this enhancement will not be used often, can it be worked around with a few lines of script?
I don't know the habits of Godot users, those who like to output many things and browse it to check what is going on will like it very much I guess.
The only workaround is to use the log from the folder where it has been created with a text editor. Then move back and forth from Godot to the editor and while coding.
Is there a reason why this should be core and not an add-on in the asset library?
Core would allow an easier integration I guess.
Describe the project you are working on
Not specific to any project.
Currently, we can't just search in the tons of output lines a code can generate cannot, just filter text.
Describe the problem or limitation you are having in your project
Many times, among lot's of lines, I'm looking for specific pattern AND what comes before or after, filter is no help here because cursor is always put back at the bottom when cleared, instead of staying where it was.
Describe the feature / enhancement and how it helps to overcome the problem or limitation
The search tool already exists in the code window and could be duplicated more or less as-is to be used in the output as well.
To avoid to much text area, there may be some options on the right of the text area so we can use search or filter.
Describe how your proposal will work, with code, pseudo-code, mock-ups, and/or diagrams
It would be just like the existing filter, except it will behave like the search box from the code editor.
If this enhancement will not be used often, can it be worked around with a few lines of script?
I don't know the habits of Godot users, those who like to output many things and browse it to check what is going on will like it very much I guess.
The only workaround is to use the log from the folder where it has been created with a text editor. Then move back and forth from Godot to the editor and while coding.
Is there a reason why this should be core and not an add-on in the asset library?
Core would allow an easier integration I guess.