Improve the overall logging experience.

[CoderDake]

The current logging experience needs an overhaul to meet basic expectations around logging needs. This issue will track the overall progress towards a new logging experience which we are referring to as "logging V2". For now it will be hidden behind a DevTools feature flag.

Bugs that should be resolved as part of creating the logging v2 experience:

• [x] https://github.com/flutter/devtools/issues/1108
• [x] https://github.com/flutter/devtools/issues/2188
• [x] https://github.com/flutter/devtools/issues/6796
• [x] https://github.com/flutter/devtools/issues/7575
• [x] https://github.com/flutter/devtools/issues/5182
• [x] https://github.com/flutter/devtools/issues/8426
• [x] https://github.com/flutter/devtools/issues/6798
• [x] https://github.com/flutter/devtools/issues/6800

[bleonard252]

This is the part of DevTools I use the most, so I'm definitely looking forward to this.

[CoderDake]

<3

[CoderDake]

:salute: